Prof. Dr. ENGİN &#214;ZKAN

GAZI UNIVERSITY JOURNAL OF SCIENCE , cilt.39, sa.Advanced Online Publication, ss.1-15, 2026 (ESCI, Scopus, TRDizin)

3. Exploring novel Fermat polynomials and their transformative properties

JOURNAL OF INFORMATION & OPTIMIZATION SCIENCES , cilt.47, ss.1-16, 2026 (ESCI)

4. Period of Pell-Narayana sequence in groups

JOURNAL OF COMBINATORIAL MATHEMATICS AND COMBINATORIAL COMPUTING , cilt.128, ss.221-238, 2026 (Scopus)

5. On k−division Fibonacci-Pell and k−division Gaussian Fibonacci-Pell polynomials and their applications

Mehraban E., Kuloğlu B., Özkan E., Hıncal E.

JOURNAL OF COMBINATORIAL MATHEMATICS AND COMBINATORIAL COMPUTING , cilt.128, ss.317-335, 2026 (Scopus)

6. Generalized Repunit Hybrid Quaternions: Structural and Pre-Cryptographic Insights

Gökbaş H., Kuloğlu B., Özkan E.

SYMMETRY , cilt.18, sa.1, ss.1-28, 2025 (SCI-Expanded, Scopus)

7. ON BICOMPLEX (k,l)−GADOVAN NUMBERS

Analele Universităţii din Oradea - Fascicola Matematică , cilt.32, sa.2, ss.101-111, 2025 (Hakemli Dergi)

8. An Encoding –Decoding Algorithm Based on 𝒌-Fermat and 𝒌-Mersenne Numbers

Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi , cilt.18, sa.2, ss.521-536, 2025 (TRDizin)

9. ON THE 𝒌-VIETA-PELL AND 𝒌-VIETA-PELL-LUCAS SEQUENCES

Journal of Engineering Technology and Applied Sciences , cilt.10, sa.2, ss.115-128, 2025 (TRDizin)

10. A NOTE ON EDOUARD SEQUENCE

JOURNAL OF SCIENCE AND ARTS , cilt.25, sa.2, ss.337-348, 2025 (ESCI)

11. Fermatian row and column sums as a family of generalized integers

Shannon A. G., Uysal M., Özkan E.

NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS , cilt.31, sa.3, ss.433-442, 2025 (ESCI)

12. Analytical Characterization of Self-Similarity in k-Cullen Sequences Through Generating Functions and Fibonacci Scaling

Akkuş H., Kuloğlu B., Özkan E.

FRACTAL AND FRACTIONAL , cilt.9, sa.6, ss.1-21, 2025 (SCI-Expanded)

13. Extending Mersenne Numbers to Bicomplex (p,q)-Mersenne Quaternions with Catalan Transformations

Shannon A. G., Kuloğlu B., Özkan E.

Equations , cilt.5, ss.29-47, 2025 (Hakemli Dergi)

14. Rhaly terraced sequences their generalizations, properties andapplications

COMPUTATIONAL AND APPLIED MATHEMATICS , cilt.44, ss.1-22, 2025 (SCI-Expanded)

15. Copper Fibonacci, Copper Lucas polynomials and their some special transformations and hyperbolic quaternions

PROCEEDINGS OF THE INDIAN NATIONAL SCIENCE ACADEMY , cilt.91, ss.1-14, 2025 (ESCI)

16. A Note on Blaise Sequences and their Applications

Akkus H., Özkan E.

Discrete Mathematics, Algorithms and Applications , cilt.17, ss.1-15, 2025 (ESCI)

17. A Study on the k-Mersenne and k-Mersenne-Lucas Sequences

Özkan E., Şen B., Akkuş H., Uysal M.

Universal Journal of Mathematics and Applications , cilt.8, sa.1, ss.1-7, 2025 (Scopus)

18. INVESTIGATION OF HIGHER ORDER HORADAM NUMBERS, THEIR ASSOCIATED TRANSFORMS AND SELF-SIMILARITY

Kuloğlu B., Peters J. F., Uysal M., Özkan E.

Mathematica Montisnigri , cilt.63, ss.33-46, 2025 (Scopus)

19. Properties of Generalized Bronze Fibonacci Sequences and their Hyperbolic Quaternions

Özkan E., Akkuş H., Özkan A.

Axioms , cilt.14, sa.1, ss.1-15, 2025 (SCI-Expanded)

20. A Study on Soft Compactness in Soft R0 and Soft R1 Spaces

Kaur S., Özkan A., ÖZKAN E.

WSEAS Transactions on Mathematics , cilt.24, ss.477-481, 2025 (Scopus)

21. ON THE HYPERBOLIC k-MERSENNE AND k-MERSENNE-LUCAS OCTONIONS

Uysal M., Kumarı M., Kuloğlu B., Prasad K., Özkan E.

KRAGUJEVAC JOURNAL OF MATHEMATICS , cilt.49, sa.5, ss.765-779, 2025 (ESCI, Scopus)

22. ON A GENERALIZATION OF THE PERFECT SQUARE SEQUENCE AND ITS POLYNOMIAL

Altiparmak İ., Akkuş H., ÖZKAN E.

Mathematica Montisnigri , cilt.62, ss.64-77, 2025 (Scopus)

23. GENERALIZATION OF THE k-WOODALL SEQUENCE

Akkuş H., ÖZKAN E.

Palestine Journal of Mathematics , cilt.14, sa.3, ss.1016-1027, 2025 (Scopus)

24. Hyperbolic k-Oresme and k-Oresme-Lucas Quaternions

Ozkan E., Akkuş H.

Proof , cilt.4, ss.141-149, 2024 (Hakemli Dergi)

25. A note on bivariate bi-periodic Mersenne polynomials

Kuloğlu B., Cui E., Özkan E., Peters J. F.

Proof , cilt.4, ss.158-167, 2024 (Hakemli Dergi)

26. A New Approach to Olivier Sequences

Akkus H., Özkan E.

MATHEMATICA MONTISNIGRI , cilt.61, ss.14-24, 2024 (Scopus)

27. A New Family of k-Quasi Morgan-Voyce Sequences

Journal of Advanced Engineering and Computation , cilt.8, sa.4, ss.233-244, 2024 (Hakemli Dergi)

28. Hyperbolic (𝒔,𝒕)-Fibonacci and (𝒔,𝒕)-Lucas Quaternions

PROOF , cilt.4, ss.97-105, 2024 (Hakemli Dergi)

29. A New Approach to k-Oresme and k-Oresme-Lucas Sequences

ÖZKAN E., Akkuş H.

Symmetry , cilt.16, sa.11, 2024 (SCI-Expanded, Scopus)

30. Generalized Bronze Leonardo sequence

NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS , cilt.30, sa.4, ss.811-824, 2024 (ESCI)

31. A partial recurrence Fibonacci link

Shannon A. G., Akkuş H., Aküzüm Y., Deveci Ö., Özkan E.

NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS , cilt.30, sa.3, ss.530-537, 2024 (ESCI)

32. An Encoding-Decoding Algorithm Based On Fermat And Mersenne Numbers

APPLIED MATHEMATICS E - NOTES , cilt.24, ss.274-282, 2024 (ESCI)

33. ON DOUBLED AND QUADRUPLED FIBONACCI TYPE SEQUENCES

Yilmaz N. Ş. E., Włoch A., Özkan E., Strzałka D.

Annales Mathematicae Silesianae , cilt.38, sa.2, ss.336-350, 2024 (ESCI)

34. Matrix representation of (d, k) - Fibonacci polynomials

Kuloglu B., Ozkan E.

Bulletin of the Transilvania University of Braşov. Series III: Mathematics and Computer Science , cilt.4, sa.66, ss.185-200, 2024 (Scopus)

35. Balancing and Lucas-Balancing Hybrid Numbers and Some Identities

JOURNAL OF INFORMATION & OPTIMIZATION SCIENCES , cilt.45, sa.5, ss.1293-1304, 2024 (ESCI)

36. Copper ratio obtained by generalizing the Fibonacci sequence

AIP ADVANCES , cilt.14, sa.7, ss.1-11, 2024 (SCI-Expanded, Scopus)

37. Generalization of the Distance Fibonacci Sequences

Yilmaz N. Ş., Włoch A., Özkan E.

Axioms , cilt.13, sa.7, ss.1-16, 2024 (SCI-Expanded)

38. On the Mersenne and Mersenne-Lucas hybrid quaternions

Ozkan E., Uysal M.

Bulletin of theTransilvaniaUniversity of Bra ̧sovSeries III: Mathematics and Computer Science, , cilt.4, sa.66, ss.139-148, 2024 (Scopus)

39. Hyperbolic functions obtained from $${\varvec{k}}$$-Pell sequences

AFRIKA MATEMATIKA , cilt.35, ss.1-12, 2024 (ESCI)

40. Discatenated and lacunary recurrences

Akkuş H., Deveci Ö., Özkan E., Shannon A. G.

NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS , cilt.30, sa.1, ss.8-19, 2024 (ESCI)

41. On Generalizations of Dickson k-Fibonacci Polynomials

ÖZKAN E., Akkus H.

WSEAS Transactions on Mathematics , cilt.23, ss.856-862, 2024 (Scopus)

42. On a generalization of the Gadovan numbers

Özkan E., Eser E., Uysal M.

Mathematica Moravica , cilt.28, sa.1, ss.109-119, 2024 (Hakemli Dergi)

43. GENERALIZATION OF THE k-LEONARDO SEQUENCE AND THEIR HYPERBOLIC QUATERNIONS

Mathematica Montisnigri , cilt.60, ss.14-31, 2024 (Scopus)

44. An Encoding-Decoding Algorithm Based On Fermat And Mersenne Numbers∗

Applied Mathematics E - Notes , cilt.24, ss.274-282, 2024 (ESCI)

45. Local systems with tame, and a unipotent, local monodromy

Flicker Y. Z., Özkan E.

Sao Paulo Journal of Mathematical Sciences , cilt.17, sa.2, ss.465-482, 2023 (ESCI)

46. ON DUAL BICOMPLEX BALANCING AND LUCAS-BALANCING NUMBERS

Uysal M., Özkan E., Shannon A. G.

JOURNAL OF SCIENCE AND ARTS , cilt.24, sa.4, ss.925-938, 2023 (ESCI)

47. On Pell Functions and Pell Numbers

Research & Reviews: Discrete Mathematical Structures , cilt.10, sa.3, ss.1-9, 2023 (Hakemli Dergi)

48. On the Norms and Eigenvalues of r -Circulant Matrices with k -Mersenne and k -Mersenne–Lucas Numbers

Kumari M., Prasad K., ÖZKAN E., Tanti J.

Mathematical Notes , cilt.114, sa.3-4, ss.522-535, 2023 (SCI-Expanded)

49. ON THE (p,q)-NARAYANA n-DIMENSIONAL RECURRENCES

JOURNAL OF SCIENCE AND ARTS , cilt.23, sa.3, ss.707-714, 2023 (ESCI)

50. d-Gaussian Fibonacci, d-Gaussian Lucas Polynomials, and their Matrix Representations

Ukrainian Mathematical Journal , cilt.75, sa.4, ss.562-585, 2023 (SCI-Expanded, Scopus)

51. On K-Chebsyhev Sequence

Ozkan E., Akkus H.

WSEAS TRANSACTIONS ON MATHEMATICS , cilt.22, ss.503-507, 2023 (Scopus)

52. The r-circulant Matrices Associated with k-Fermat and k-Mersenne Numbers

WSEAS TRANSACTIONS ON MATHEMATICS , cilt.22, ss.531-543, 2023 (Scopus)

53. On the Properties of r-Circulant Matrices Involving Generalized Fermat Numbers

Kuloğlu B., Özkan E., Shannon A. G.

SAKARYA UNIVERSITY JOURNAL OF SCIENCE , cilt.27, sa.5, ss.956-965, 2023 (Scopus, TRDizin)

54. p-Analogue of biperiodic Pell and Pell–Lucas polynomials

NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS , cilt.29, sa.2, ss.336-347, 2023 (ESCI)

55. d–Gaussian pell polynomials and their matrix representation

Munesh Kumaria M., Kalika Prasada K., Tanti J., Özkan E.

Discrete Mathematics, Algorithms and Applications , cilt.15, sa.6, ss.1-16, 2023 (ESCI)

56. On the properties of r-circulant matrices involving Mersenne and Fermat numbers

International Journal of Nonlinear Analysis and Applications , cilt.14, sa.5, ss.121-131, 2023 (ESCI, Scopus)

57. Fibonacci and Lucas Polynomials in n-gon

Kuloǧlu B., ÖZKAN E., Marin M.

Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica , cilt.31, sa.2, ss.127-140, 2023 (SCI-Expanded)

58. d-Tribonacci Polynomials and Their Matrix Representations

WSEAS TRANSACTIONS ON MATHEMATICS , cilt.22, ss.204-212, 2023 (Scopus)

59. On Quaternions with Higher Order Jacobsthal Numbers Components

Gazi University Journal of Science , cilt.36, sa.1, ss.336-347, 2023 (ESCI, Scopus, TRDizin)

60. Applications of Jacobsthal and Jacobsthal-Lucas numbers in coding theory

Mathematica Montisnigri , cilt.57, sa.4, ss.54-64, 2023 (Scopus)

61. ON THE MERSENNE AND MERSENNE-LUCAS HYBRINOMIAL QUATERNIONS

Eser E., Kuloğlu B., ÖZKAN E.

Bulletin of the Transilvania University of Brasov, Series III: Mathematics and Computer Science , cilt.3, sa.1, ss.129-144, 2023 (Scopus)

62. d-Gaussian Pell-Lucas Polynomials and Their Matrix Representations

KuloğLu B., ÖZKAN E., Shannon A. G.

Turkish Journal of Mathematics and Computer Science , cilt.14, sa.2, ss.262-270, 2022 (Scopus)

63. THE NARAYANA SEQUENCE IN FINITE GROUPS

Fibonacci Quarterly , cilt.60, sa.5, ss.212-221, 2022 (ESCI)

64. Higher-Order Jacobsthal–Lucas Quaternions

Axioms , cilt.11, sa.12, 2022 (SCI-Expanded, Scopus)

65. Hyperbolic k -Jacobsthal and k -Jacobsthal-Lucas Quaternions

Özkan E., Uysal M., Godase A.

Indian Journal of Pure and Applied Mathematics , cilt.53, sa.4, ss.956-967, 2022 (SCI-Expanded, Scopus)

66. On generalized (k, r)-Pell and (k, r)-Pell–Lucas numbers

NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS , cilt.28, sa.4, ss.765-777, 2022 (ESCI)

67. A new family of Gauss (k,t)-Horadam numbers

Taştan M., Yılmaz N., Özkan E.

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS , cilt.15, sa.12, ss.22502254, 2022 (ESCI, Scopus)

68. NEW NARAYANA TRIANGLE

JOURNAL OF SCIENCE AND ARTS , cilt.22, sa.3, ss.563-570, 2022 (ESCI)

69. Hyperbolic functions obtained from k -Jacobsthal sequences

Asian-European Journal of Mathematics , cilt.15, sa.9, 2022 (ESCI, Scopus)

70. Some aspects of interchanging difference equation orders

Shannon A. G., Özkan E.

Notes on Number Theory and Discrete Mathematics , cilt.28, sa.3, ss.507-516, 2022 (ESCI)

71. ON THE PELL-EISENSTEIN SERIES OF POWER m

Inam I., Özkan E., Uysal M., Ozkaya Z.

Bulletin of the Transilvania University of Brasov, Series III: Mathematics and Computer Science , cilt.2, sa.1, ss.77-82, 2022 (Scopus)

72. On the bicomplex Gaussian Fibonacci and Gaussian Lucas numbers

Kuloğlu B., ÖZKAN E.

Acta et Commentationes Universitatis Tartuensis de Mathematica , cilt.26, sa.1, ss.33-43, 2022 (ESCI, Scopus)

73. Catalan transform of the incomplete Jacobsthal numbers and incomplete generalized Jacobsthal polynomials

Özkan E., Uysal M., Kuloǧlu B.

Asian-European Journal of Mathematics , cilt.15, sa.6, 2022 (ESCI, Scopus)

74. On hyperbolic k-Jacobsthal and k-Jacobsthal–Lucas octonions

Notes on Number Theory and Discrete Mathematics , cilt.28, sa.2, ss.318-330, 2022 (ESCI)

75. D- GAUSSIAN JACOBSTHAL, D- GAUSSIAN JACOBSTHALLUCAS POLYNOMIALS AND THEIR MATRIX REPRESENTATIONS

Electronic Journal of Mathematical Analysis and Applications , cilt.10, sa.2, ss.124-140, 2022 (Hakemli Dergi)

76. On New Polynomial Sequences Constructed to Each Vertex in an n-Gon

Ganie A. H., Özkan E., Uysal M., Akhter A.

DISCRETE DYNAMICS IN NATURE AND SOCIETY , cilt.2022, ss.2910678, 2022 (SCI-Expanded, Scopus)

77. PADOVAN HYBRID QUATERNIONS AND SOME PROPERTIES

Journal Of Science And Arts , cilt.22, sa.1, ss.121-132, 2022 (ESCI)

78. A short note on the Pell-Lucas-Eisenstein series

Uysal M., Inam I., Özkan E.

Asian-European Journal of Mathematics , cilt.15, sa.5, 2022 (ESCI)

79. Novel Distance Measure for Linear Diophantine Fuzzy Sets

AYDOĞDU A., ÖZKAN E.

Research & Reviews: Discrete Mathematical Structures , cilt.9, sa.2, ss.38-45, 2022 (Hakemli Dergi)

80. A Difference Equation Model of Infectious Disease

Shannon A., Dubeau F., UYSAL M., ÖZKAN E.

International Journal Bioautomation , cilt.26, sa.4, ss.339-352, 2022 (Scopus)

81. BIGAUSSIAN PELL AND PELL-LUCAS POLYNOMIALS

ÖZKAN E., Alp T.

Mathematica Montisnigri , cilt.53, ss.17-25, 2022 (Scopus)

82. The k-Fibonacci group and periods of the k-step Fibonacci sequences

Kumari M., Prasad K., Kuloǧlu B., ÖZKAN E.

WSEAS Transactions on Mathematics , cilt.21, ss.838-843, 2022 (Scopus)

83. A NEW FAMILY OF HORADAM NUMBERS

Yılmaz N., Taştan M., Özkan E.

Electronic Journal of Mathematical Analysis and Applications , cilt.10, sa.1, ss.64-70, 2022 (Hakemli Dergi)

84. K-Narayana sequence self-Similarity. flip graph views of k-Narayana self-Similarity

Özkan E., Kuloǧlu B., Peters J. F.

Chaos, Solitons and Fractals , cilt.153, 2021 (SCI-Expanded)

85. Incomplete generalized Vieta–Pell and Vieta–Pell–Lucas polynomials

Kuloğlu B., , Özkan E., Shannon A. G., ,

Notes on Number Theory and Discrete Mathematics , cilt.27, sa.4, ss.245-256, 2021 (ESCI)

86. On F3(k, n) -numbers of the Fibonacci type

Özkan E., Yilmaz N. Ş., Włoch A.

Boletin de la Sociedad Matematica Mexicana , cilt.27, sa.3, 2021 (ESCI)

87. A New Generalization of Fibonacci Polynomials

Özkan E., Alp T.

Research & Reviews: Discrete Mathematical Structures , cilt.8, sa.2, ss.27-31, 2021 (Hakemli Dergi)

88. New recurrences on Pell numbers, Pell-Lucas numbers, Jacobsthal numbers, and Jacobsthal-Lucas numbers

Çelik S., Durukan İ., Özkan E.

Chaos, Solitons and Fractals , cilt.150, 2021 (SCI-Expanded)

89. ON GENERALIZED (k, r) – GAUSS PELL NUMBERS

KULOĞLU B., ÖZKAN E.

Journal of Science and Arts , cilt.3, sa.56, ss.617-624, 2021 (ESCI)

90. K-NARAYANA SEQUENCE SELF-SIMILARITY

Özkan E., Kuloğlu B., Peters J. F.

hal.archives-ouvertes.fr , cilt.03242990, ss.1-21, 2021 (Hakemli Dergi)

91. On the new Narayana polynomials, the Gauss Narayana numbers and their polynomials

Özkan E., Kuloǧlu B.

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS , cilt.14, sa.6, 2021 (ESCI)

92. On a new family of gauss k-Lucas numbers and their polynomials

Özkan E., Tastan M.

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS , cilt.14, sa.6, 2021 (Scopus)

93. A New Approach to k-Jacobsthal Lucas Sequences

Akkuş H., Üregen R. N., Özkan E.

SAKARYA UNIVERSITY JOURNAL OF SCIENCE , cilt.25, sa.4, ss.969-973, 2021 (TRDizin)

94. MERSENNE-LUCAS HYBRID NUMBERS

Mathematica Montisnigri , cilt.52, ss.17-29, 2021 (Scopus)

95. The generalized k-Fibonacci polynomials and generalized k-Lucas polynomials

Tastan M., Özkan E., Shannon A. G.

NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS , cilt.27, sa.2, ss.148-158, 2021 (Hakemli Dergi)

96. On the New Families of k− Pell Numbers and k− Pell-Lucas Numbers and Their Polynomials

ÖZKAN E., Taştan M., Aktaş A.

Journal of Contemporary Applied Mathematics , cilt.11, sa.1, ss.16-30, 2021 (Scopus)

97. Catalan transform of the k-Pell, k-Pell-Lucas and modified k-Pell sequence

Tastan M., Özkan E.

NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS , cilt.27, sa.1, ss.198-207, 2021 (Hakemli Dergi)

98. SOME PROPERTIES OF K-GENERALIZED FIBONACCI NUMBERS

Yilmaz N., Aydoğdu A., ÖZKAN E.

Mathematica Montisnigri , cilt.50, ss.73-79, 2021 (Scopus)

99. ON THE GAUSS k− FIBONACCI POLYNOMIALS

Taştan M., Özkan E.

Electronic Journal of Mathematical Analysis and Applications , cilt.9, sa.1, ss.124-130, 2021 (Hakemli Dergi)

100. New Recurrence Relations for Tribonacci Sequence andGeneralized Tribonacci Sequence

Durukan İ., Çelik S., Özkan E.

Research & Reviews: Discrete Mathematical Structures (RRDMS) , cilt.7, sa.3, ss.1-6, 2020 (Hakemli Dergi)

101. New Number Sequences Obtained with Grouping of Fibonacci Numbers

Durukan İ., Özkan E.

Research & Reviews: Discrete Mathematical Structures (RRDMS) , cilt.7, sa.3, ss.27-35, 2020 (Hakemli Dergi)

102. On A Jacobsthal-Like Sequence Associated with KJacobsthal-Lucas Sequence

ÖZKAN E., Kuloğlu B.

Journal of Contemporary Applied Mathematics , cilt.10, sa.2, ss.3-13, 2020 (Scopus)

103. CATALAN TRANSFORM OF THE k-JACOBSTHAL SEQUENCE

Electronic Journal of Mathematical Analysis and Applications (EJMAA) , cilt.8, sa.2, ss.70-74, 2020 (Hakemli Dergi)

104. Catalan Transform of The k-Lucas Numbers

Özkan E., Taştan M., Güngör O.

Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi , cilt.13, ss.145-149, 2020 (Hakemli Dergi)

105. On Gauss Fibonacci polynomials, on Gauss Lucas polynomials and their applications

Özkan E., Tastan M.

COMMUNICATIONS IN ALGEBRA , cilt.48, sa.3, ss.952-960, 2020 (SCI-Expanded)

106. A NEW FAMILIES OF GAUSS k-JACOBSTHAL NUMBERS AND GAUSS k-JACOBSTHAL-LUCAS NUMBERS AND THEIR POLYNOMIALS

JOURNAL OF SCIENCE AND ARTS , sa.4, ss.893-908, 2020 (Hakemli Dergi)

107. k-Fibonacci Polynomials in The Family of Fibonacci Numbers

Research & Reviews: Discrete Mathematical Structures , cilt.6, sa.3, ss.19-22, 2019 (Hakemli Dergi)

108. Generalized Lucas polynomials and relationships between the Fibonacci polynomials and Lucas polynomials

Özkan E., Altun İ.

COMMUNICATIONS IN ALGEBRA , cilt.47, sa.10, ss.4020-4030, 2019 (SCI-Expanded)

109. Fibonacci Sayılarının Ailesinde 3-Fibonacci Polinomları

Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi , cilt.12, sa.2, ss.926-933, 2019 (TRDizin)

110. A Sequence Bounded Above by the Lucas Numbers

ÖZKAN E., AYDOĞDU A., Göçer A.

SAKARYA UNIVERSITY JOURNAL OF SCIENCE , cilt.22, sa.6, ss.1853-1856, 2018 (TRDizin)

111. 2-Fibonacci polynomials in the family of Fibonacci numbers

NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS , cilt.24, sa.3, ss.47-55, 2018 (ESCI)

112. Some Identities for a Family of Fibonacci and Lucas Numbers

ÖZKAN E., AYDOĞDU A., Altun İ.

Journal of Mathematics and Statistical Science , cilt.3, sa.10, ss.295-303, 2017 (Hakemli Dergi)

113. On Relationship Among a New Family of k-Fibonacci, k-Lucas Numbers, Fibonacci and Lucas Numbers

Özkan E., Altun İ., Göçer A.

CHIANG MAI JOURNAL OF SCIENCE , cilt.44, ss.1744-1750, 2017 (SCI-Expanded)

114. EXPLICIT FORMS OF THE TRACE FORMULA FOR GL(2)

Aydoğdu A., Flicker Y. Z., Özkan E., Ozturk R.

JOURNAL D ANALYSE MATHEMATIQUE , cilt.131, ss.1-71, 2017 (SCI-Expanded)

115. A new sequence realizing Lucas numbers, and the Lucas bound

Özkan E., Göçer A. A., Altun İ.

Electronic Journal of Mathematical Analysis and Applications , cilt.5, sa.1, ss.148-154, 2017 (Hakemli Dergi)

116. Truncated Lucas sequence and its period

Applied Mathematics and Computation , cilt.232, ss.285-291, 2014 (SCI-Expanded)

117. ON THE FACTOR RINGS OF EISENSTEIN INTEGERS

ÖZTÜRK R., AYDOĞDU A., ÖZKAN E.

Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi , cilt.6, sa.2, ss.165-174, 2013 (Hakemli Dergi)

118. Catalan Numbers and Modular Arithmetic

Özkan E., Dervişoğlu S.

Journal of the Institute of Science and Technology (JIST) , cilt.2, sa.4, ss.63-66, 2012 (Hakemli Dergi)

119. On truncated Fibonacci sequences

Indian Journal of Pure and Applied Mathematics , cilt.38, sa.4, ss.241-251, 2007 (SCI-Expanded)

120. Fibonacci sequences in nilpotent groups with class n

CHIANG MAI JOURNAL OF SCIENCE , cilt.31, sa.3, ss.205-212, 2004 (SCI-Expanded)

121. On General Fibonacci Sequences in Groups

Turkish Journal Of Mathematics , cilt.27, sa.4, ss.525-537, 2003 (SCI-Expanded)

122. 3-step Fibonacci series modulo m

Ozkan E., Aydin H., Dikici R.

APPLIED MATHEMATICS AND COMPUTATION , cilt.143, sa.1, ss.165-172, 2003 (SCI-Expanded)

123. 3-step Fibonacci sequences in nilpotent groups

Tekeoğlu Akkaya B., Özkan E.

Applied Mathematics and Computation , cilt.144, ss.517-527, 2003 (SCI-Expanded)

124. Applications of Fibonacci sequences in a finite nilpotent group

Ozkan E., Aydin H., Dikici R.

APPLIED MATHEMATICS AND COMPUTATION , cilt.141, ss.565-578, 2003 (SCI-Expanded)

125. An application of Fibonacci sequences in groups

Dikici R., Özkan E.

Applied Mathematics and Computation , cilt.136, ss.323-331, 2003 (SCI-Expanded, Scopus)

126. General Recurrences in Modular Groups

Dikici R., Özkan E.

Journal of Faculty of Science, Ege University , cilt.21, sa.2, ss.93-101, 1998 (Hakemli Dergi)

Hakemli Bilimsel Toplantılarda Yayımlanmış Bildiriler 75

1. Balancing-like Polynomials

8th International Conference on Advances in Natural and Applied Sciences, Antalya, Türkiye, 28 - 31 Ekim 2025, ss.173, (Özet Bildiri)

2. Structural and self-similarity properties of higher-order Horadam numbers

Kuloğlu B., Peter J., Uysal M., Özkan E.

8th International Conference on Advances in Natural and Applied Sciences (ICANAS 2025), , Antalya, Türkiye, 28 - 31 Ekim 2025, ss.107, (Özet Bildiri)

3. k-Vieta-Fibonacci Sequence and Application to Hyperbolic Quaternions

Karadeniz Gözeri G., Özkan E.

8th International Conference on Advances in Natural and Applied Sciences (ICANAS 2025), Antalya, Türkiye, 28 - 31 Ekim 2025, ss.54, (Özet Bildiri)

4. Matematiksel Mantığın Evrimi ve Günümüz Matematiğine Katkıları

Mantık ve Matematik Sempozyumu 2025, Burdur, Türkiye, 16 - 18 Ekim 2025, ss.1, (Özet Bildiri)

5. Structural and Algebraic Properties of k-Balancing-like Sequences

Özkan E., Tekeoğlu Akkaya B.

9th International Conference of Mathematical Sciences (ICMS 2025), İstanbul, Türkiye, 3 - 07 Eylül 2025, ss.175, (Özet Bildiri)

6. On Generalizations of Lucas-Balancing Sequences

Özkan E., Tekeoğlu Akkaya B.

International Conference On Mathematics and Computers with Applications, İstanbul, Türkiye, 16 - 18 Temmuz 2025, ss.165, (Özet Bildiri)

7. An Extension of the (k,l)-Gadovan Numbers Sequence and Their Identities,

International Conference On Mathematics and Computers with Applications, İstanbul, Türkiye, 16 - 18 Temmuz 2025, ss.120, (Özet Bildiri)

8. (p,q)-Mersenne Numbers and Their Basic Properties,

International Conference On Mathematics and Computers with Applications, İstanbul, Türkiye, 16 - 18 Temmuz 2025, ss.754-762, (Tam Metin Bildiri)

9. On a Mersenne – related Sequence and Its Relationship with the Horadam Sequence

Eser E., Goy T., Özkan E.

International Workshop on Modern Problems of Analysis, Optimization, Approximation And Their Applications, Rome, İtalya, 25 - 27 Haziran 2025, ss.66-70, (Tam Metin Bildiri)

10. Generalized Copper Fibonacci Sequences and their Polynomials

Rzeszów Workshop on Graph Theory, Rzeszow, Polonya, 23 - 27 Haziran 2025, ss.23-25, (Özet Bildiri)

11. (p,q)-Mersenne Quaternions and Their Basic Properties

Sivas International Conference On Scientific and Innovation Research-IV, Sivas, Türkiye, 30 - 31 Mayıs 2025, ss.436-443, (Tam Metin Bildiri)

12. Bivariate Bi-Periyodik Mersenne Polinomlarının Yapısı ve Özdeşlikleri

Kuloğlu B., Özkan E., Peters J., Cui E.

I. Anadolu Cebir Çaliştayi-Çukurova (Acc-2025), , Adana, Türkiye, 18 - 20 Nisan 2025, ss.19, (Özet Bildiri)

13. Fermat ve Mersenne Saylarının Genelleştirilmesi Üzerine Kodlama ve Kod Çözme Algoritması

I. Anadolu Cebir Çaliştayi-Çukurova (Acc-2025), Adana, Türkiye, 18 - 20 Nisan 2025, ss.23, (Özet Bildiri)

14. Balancing Sayı Dizilerinin Yeni Bir Uygulaması

Uysal M., Özkan E., Shannon A. G.

I. Anadolu Cebir Çaliştayi-Çukurova (Acc-2025), , Adana, Türkiye, 18 - 20 Nisan 2025, ss.24, (Özet Bildiri)

15. Catalan Transform of the k-Mersenne and k-Mersenne-Lucas Sequences

Şen B., Uysal M., Özkan E.

3 th International Symposium on Current Developments in Fundamental and Applied Mathematics Sciences (ISCDFAMS -2024), İstanbul, Türkiye, 2 - 05 Eylül 2024, ss.56-57, (Özet Bildiri)

16. On Gaussian Fibonacci And Gaussian Lucas Hybrid Numbers

3 th International Symposium on Current Developments in Fundamental and Applied Mathematics Sciences (ISCDFAMS -2024), İstanbul, Türkiye, 2 - 05 Eylül 2024, ss.190-202, (Tam Metin Bildiri)

17. A New Approach to Dickson k-Lucas Polynomials

3 th International Symposium on Current Developments in Fundamental and Applied Mathematics Sciences (ISCDFAMS -2024), İstanbul, Türkiye, 2 - 05 Eylül 2024, ss.125-138, (Tam Metin Bildiri)

18. Examination of the Existence of Coding on Violin Strings

, 2 nd International Symposium on Current Developments in Fundamental and Applied Mathematics Sciences (ISCDFAMS -2023), , Ankara, Türkiye, 14 - 16 Kasım 2023, ss.1, (Özet Bildiri)

19. ON THE FIBONACCI AND LUCAS HYBRINOMIAL QUATERNIONS

4. INTERNATIONAL ANTALYA SCIENTIFIC RESEARCH AND INNOVATIVE STUDIES CONGRESS, Antalya, Türkiye, 9 - 10 Mayıs 2023, ss.963-979, (Tam Metin Bildiri)

20. NEW NUMBER SEQUENCES BUILT ON HYBRID NUMBERS

9th International Conference on IFS and Contemporary Mathematics and Engineering (IFSCOM 2023), Mersin, Türkiye, 8 - 11 Temmuz 2023, ss.16-17, (Özet Bildiri)

21. A New Approach To Gadovan Numbers

Özkan E., Eser E., Uysal M.

9th International Conference on IFS and Contemporary Mathematics and Engineering (IFSCOM 2023), Mersin, Türkiye, 8 - 11 Temmuz 2023, ss.278, (Özet Bildiri)

22. An Encoding –Decoding Algorithm Based On Narayana Numbers

9th International Conference on IFS and Contemporary Mathematics and Engineering (IFSCOM 2023), Mersin, Türkiye, 8 - 11 Temmuz 2023, ss.177, (Özet Bildiri)

23. CREATING ENCRYPTION AND DECRYPTION ALGORITHM USING PELL NUMBERS

EYFOR-14, Antalya, Türkiye, 2 - 07 Mayıs 2023, ss.505, (Tam Metin Bildiri)

24. A NEW APPROACH TO NARAYANA HYBRID SEQUENCES

9th INTERNATIONAL MARDIN ARTUKLU SCIENTIFIC RESEARCHES CONFERENCE, Mardin, Türkiye, 20 - 22 Ocak 2023, ss.77-81, (Tam Metin Bildiri)

25. Some aspects of interchanging difference equation orders

Shannon A., Özkan E.

1st International Symposium on Current Developments in Fundamental and Applied Mathematics Sciences (ISCDFAMS -2022), , Erzurum, Türkiye, 23 - 25 Mayıs 2022, ss.1, (Özet Bildiri)

26. ON A GENERALIZATION OF MERSENNE HYBRID NUMBERS

International Conference on Computational Mathematics and Engineering Sciences (CMES-2022) , Ordu, Türkiye, 20 - 22 Mayıs 2022, ss.72, (Özet Bildiri)

27. On Catalan Transformations of the Gaussian Fibonacci Sequence

2 nd International Congress of Engineering and Natural Sciences (ICENSS 2022), Ankara, Türkiye, 7 - 09 Mayıs 2022, ss.388-393, (Tam Metin Bildiri)

28. FIBONACCI SEQUENCES IN FINITE GROUPS

2 nd International Congress of Engineering and Natural Sciences , Ankara, Türkiye, 7 - 09 Mayıs 2022, ss.496-510, (Tam Metin Bildiri)

29. A new family of the k-Fibonacci polynomials

Özkan E., Alp T.

Academia International Conference on Mathematics and Mathematics Education, Siirt, Türkiye, 1 - 03 Aralık 2021, ss.44-46, (Özet Bildiri)

30. Pell Sayıları ile ilişkili olarak elde edilen Pell fonksiyonları

Prof. Dr. Cemil Yapar Anısına Ulusal Matematik ve İstatistik Sempozyumu, Ordu, Türkiye, 10 - 11 Aralık 2021, ss.1, (Özet Bildiri)

31. Relationship Between k-Jacobsthal-Lucas Sequence and Jacobsthal Like Sequence

7th International Mardin Artuklu Scientific Researches Conference, Mardin, Türkiye, 10 - 12 Aralık 2021, ss.1, (Özet Bildiri)

32. A Generalization of Gaussian Pell-Lucas Polynomials

International Conference on Mathematics and Mathematics Education, Ankara, Türkiye, 16 - 18 Eylül 2021, ss.1, (Özet Bildiri)

33. On the Catalan Transforms of the Incomplete Jacobsthal Numbers

Özkan E., Uysal M., Kuloğlu B.

International Conference on Mathematics and Mathematics Education, Ankara, Türkiye, 16 - 18 Eylül 2021, ss.26-27, (Özet Bildiri)

34. A Generalization of Gaussian Pell-Lucas Polynomials

International Conference on Mathematics and Mathematics Education, Ankara, Türkiye, 16 - 18 Eylül 2021, ss.1, (Özet Bildiri)

35. Fibonacci Polinomlarının bir Genelleştirmesi

33. Ulusal Matematik Sempozyumu, İstanbul, Türkiye, 31 Ağustos - 03 Eylül 2021, ss.49, (Özet Bildiri)

36. Gauss Pell Sayı Tipleri Üzerine

33. Ulusal Matematik Sempozyumu, İstanbul, Türkiye, 31 Ağustos - 03 Eylül 2021, ss.31-37, (Özet Bildiri)

37. On The New Families of Gauss K-Lucas Numbers And Their Polynomials

International Conference on Mathematics and its Applications in Science and Engineering (ICMASE 2020), Ankara, Türkiye, 9 Temmuz - 10 Aralık 2020, ss.1, (Özet Bildiri)

38. On New Narayana Polynomials

Özkan E., Kuloğlu B.

International Conference on Mathematics and its Applications in Science and Engineering (ICMASE 2020), Ankara, Türkiye, 9 - 10 Temmuz 2020, ss.1, (Özet Bildiri)

39. The K-Narayana Sequence

Özkan E., Kuloğlu B.

International Conference on Mathematics and its Applications in Science and Engineering- ICMASE 2020, Ankara, Türkiye, 9 - 10 Temmuz 2020, ss.1, (Özet Bildiri)

40. Genelleştirilmiş Jacosthal Dizisinin Yeni Ailesi

USLARARASI MARDİN ARTUKLU BİLİMSEL ARAŞTIRMALAR KONGRESİ, Mardin, Türkiye, 18 - 19 Ocak 2020, ss.60, (Özet Bildiri)

41. A New Family k-Jacobcthal-Lucas Numbers

Taştan M., ÖZKAN E.

3.ULUSLARARASI MARDİN ARTUKLU BİLİMSEL ARAŞTIRMALAR KONGRESİ, Mardin, Türkiye, 18 - 19 Ocak 2020, (Özet Bildiri)

42. k-Pell Sequence

Aktaş A., Taştan M., ÖZKAN E.

3.ULUSLARARASI MARDİN ARTUKLU BİLİMSEL ARAŞTIRMALAR KONGRESİ, Mardin, Türkiye, 18 - 19 Ocak 2020, ss.57, (Özet Bildiri)

43. On n-Fibonacci Polynomials

(ICMSA2018) International Conference on Mathematical Studies and Applications, Karaman, Türkiye, 4 - 06 Ekim 2018, ss.1, (Özet Bildiri)

44. ON GAUSS LUCAS POLYNOMIALS

ÖZKAN E., Taştan M.

(ICMSA2018) International Conference on Mathematical Studies and Applications, Karaman, Türkiye, 4 - 06 Ekim 2018, ss.46, (Tam Metin Bildiri)

45. Genelleştirilmiş Fibonacci, Lucas polinomlarının Binet Formülleri Üzerine

ÖZKAN E., göçer a.

31. Ulusal Matematik Sempozyumu, Erzincan, Türkiye, 12 - 15 Eylül 2018, ss.31, (Özet Bildiri)

46. Tribonacci Sayılarında Yeni Tekrarlı Bağıntılar

ÖZKAN E., DURUKA İ.

31. Ulusal Matematik Sempozyumu, Erzincan, Türkiye, 12 - 15 Eylül 2018, ss.45, (Özet Bildiri)

47. k-Lucas Dizilerinin Katalan Dönüşümü

ÖZKAN E., Taştan M., GÜNGÖR O.

31. Ulusal Matematik Sempozyumu, Erzincan, Türkiye, 12 - 15 Eylül 2018, ss.29, (Özet Bildiri)

48. Tribonacci- Lucas Sayılarında Yeni Tekrarlı Bağıntılar

ÖZKAN E., Çelik S.

31. Ulusal Matematik Sempozyumu, Erzincan, Türkiye, 12 - 15 Eylül 2018, ss.27, (Özet Bildiri)

49. Akarlarda (Acari) altın oran

ÖZKAN E., DOĞAN S., DOĞAN S., ÇİÇEKSİZ N. Ş.

31.Ulusal Matematik Sempozyumu, Türkiye, 12 - 15 Eylül 2018, ss.28, (Özet Bildiri)

50. Gauss Fibonacci Polinomları Üzerine

ÖZKAN E., Taştan M.

31. Ulusal Matematik Sempozyumu, Erzincan, Türkiye, 12 - 15 Eylül 2018, ss.18, (Özet Bildiri)

51. On 2-Fibonacci Polynomials

INTERNATIONAL CONFERENCE on MATHEMATICAL ADVANCES and APPLICATIONS (ICOMAA2018), İstanbul, Türkiye, 11 - 13 Mayıs 2018, (Özet Bildiri)

52. Explicit Computation of the Unipotent Terms in The Trace Formula for GL(2) Over a Number Field

AYDOĞDU A., ÖZKAN E., ÖZTÜRK R.

INTERNATIONAL CONFERENCE on MATHEMATICAL ADVANCES and APPLICATIONS (ICOMAA2018), İstanbul, Türkiye, 11 - 13 Mayıs 2018, (Özet Bildiri)

53. On Fibonacci Polynomials in the Family of Fibonacci Numbers

7th International Conference on Applied Analysis and Mathematical Modeling (ICAAMM-2018), İstanbul, Türkiye, 20 - 24 Nisan 2018, ss.256, (Özet Bildiri)

54. A new sequence defined by h-vectors, which is bounded above by the Lucas number

ÖZKAN E., AYDOĞDU A., Göçer A.

II. Uluslararası Iğdır Sempozyumu, Iğdır, Türkiye, 9 - 11 Ekim 2017, (Özet Bildiri)

55. On The Relationship Between A Family of Fibonacci And Lucas Numbers

Altun İ., AYDOĞDU A., ÖZKAN E.

4 th International Conference on Recent Advences In Pure And Applied Mathematics, 11 - 15 Mayıs 2017, (Özet Bildiri)

56. The Padovan Sequences in Centro-Polyhedral Groups,

Öztürk H., Özkan E.

5th International Eurasian Conference on Mathematical Sciences and Applications (IECMSA-2016),, Belgrade, Sırbistan, 16 - 19 Ağustos 2016, ss.1, (Özet Bildiri)

57. Explicit computation of the hyperbolic terms in the trace formula for GL(2) over a number field

Öztürk R., Aydoğdu A., Özkan E.

International Conference on Advancement in Mathematical Sciences, Antalya, Türkiye, 5 - 07 Kasım 2015, ss.1, (Özet Bildiri)

58. New Generalized Fibonacci and Lucas Polynomials

ÖZKAN E., İpek A.

International Conference on Advancements in Mathematical Sciences (AMS 2015) , Antalya, Turkey November 5-7, 2015., 5 - 07 Kasım 2015, (Özet Bildiri)

59. An Alternative Proof for a Lemma Used in the Trace Formula for GL(2) Over a Number Field

ÖZTÜRK R., AYDOĞDU A., ÖZKAN E.

International Conference on Pure and Applied Mathematics, 25 - 28 Ağustos 2015, (Özet Bildiri)

60. The relationship between nth lucas number and a sequence defined by m-sequences

Özkan E., Göçer A., Altun İ.

, International Conference on Pure and Applied Mathematics,ICPAM 2015, Van, Türkiye, 25 - 28 Ağustos 2015, ss.1, (Özet Bildiri)

61. Genelleştirilmiş Lucas Polinomları

Özkan E., Altun İ., Göçer A.

10. Ankara Matematik Günleri, Ankara, Türkiye, 11 - 12 Haziran 2015, ss.1, (Tam Metin Bildiri)

62. On the a new family of k Fibonacci and k Lucas numbers

ÖZKAN E., İpek A.

Antalya Algebra Days XVII, 20 - 24 May,2015 Sirince, Izmir - Turkey, 20 - 24 Mayıs 2015, (Tam Metin Bildiri)

63. Flicker s Correction Argument For The Trace Formula Of GL 2 On A Number Field

AYDOĞDU A., ÖZTÜRK R., ÖZKAN E.

International Conference on Algebra and Number Theory, Samsun, Türkiye, 5 - 08 Ağustos 2014, ss.16-17, (Özet Bildiri)

64. Halka ve Modül Kategorileri

Başdaş S., Özkan E.

26.ULUSAL MATEMATİK SEMPOZYUMU, Diyarbakır, Türkiye, 4 - 07 Eylül 2013, ss.1, (Özet Bildiri)

65. The Trace Formula for GL 2 over a Global Field

ÖZTÜRK R., AYDOĞDU A., ÖZKAN E., Flicker Y. Z.

Second International Eurasian Conference on Mathematical Sciences and Applications, Saraybosna, Bosna-Hersek, 26 - 29 Ağustos 2013, (Özet Bildiri)

66. Transfer of Orbital Integrals and Division Algebras

AYDOĞDU A., ÖZTÜRK R., ÖZKAN E., FLICKER Y. Z.

First International Eurasian Conference on Mathematical Sciences and Applications, Priştine, Kosova, 3 - 07 Eylül 2012, (Özet Bildiri)

67. Özkan, E. and Dervişoğlu, S. “Catalan Numbers and Modular Arithmetic”

ÖZKAN E.

I. International Igdir Symposium, Iğdır, Türkiye, 12 - 20 Haziran 2012, ss.12-15, (Tam Metin Bildiri)

68. Eisenstein Tamsayıları Halkasının Bölüm Halkaları Üzerine

ÖZTÜRK R., AYDOĞDU A., ÖZKAN E.

XXIV. Ulusal Matematik Sempozyumu, Bursa, Türkiye, 7 - 10 Eylül 2011, (Özet Bildiri)

69. On The Factor Rings of Eisenstein Integers

Özkan E., Aydoğdu A.

XXIV. National Mathematics Symposium, Bursa, Türkiye, 12 - 15 Temmuz 2011, ss.1, (Tam Metin Bildiri)

70. Wall Number and Properties of Truncated Lucas Sequences

Özkan E., Aydın H.

XIX. National Mathematics Symposium, 22-25 August, Kütahya, 2006., Kütahya, Türkiye, 22 - 25 Ağustos 2006, ss.1, (Tam Metin Bildiri)

71. On Truncated Fibonacci Sequences

International Antalya Algebra Days VII, Antalya, Türkiye, 17 - 21 Mayıs 2006, ss.20-30, (Özet Bildiri)

72. Fibonacci Sequences in Finite Nilpotent Group with Class 4

Özkan E., Aydın H.

”, Palandöken Mathematics Days,, Erzurum, Türkiye, 17 - 21 Temmuz 2001, ss.1, (Tam Metin Bildiri)

73. Recurrences on Nilpotent Groups

Özkan E., Karaduman E.

XIII. National Mathematics Symposium (Dünya Matematik Etkinliği), İstanbul, Türkiye, 12 - 16 Haziran 2000, ss.1, (Özet Bildiri)

74. “General Recurrences in Modular Groups