Publications & Works

Journal articles indexed in SCI, SSCI, and AHCI
Articles Published in Other Journals
Papers Presented at Peer-Reviewed Scientific Conferences

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

3 th International Symposium on Current Developments in Fundamental and Applied Mathematics Sciences (ISCDFAMS -2024), İstanbul, Turkey, 2 - 05 September 2024, pp.56-57, (Summary Text)

A New Approach to Dickson k-Lucas Polynomials

3 th International Symposium on Current Developments in Fundamental and Applied Mathematics Sciences (ISCDFAMS -2024), İstanbul, Turkey, 2 - 05 September 2024, pp.125-138 Creative Commons License

On Gaussian Fibonacci And Gaussian Lucas Hybrid Numbers

3 th International Symposium on Current Developments in Fundamental and Applied Mathematics Sciences (ISCDFAMS -2024), İstanbul, Turkey, 2 - 05 September 2024, pp.190-202 Creative Commons License

ON THE FIBONACCI AND LUCAS HYBRINOMIAL QUATERNIONS

4. INTERNATIONAL ANTALYA SCIENTIFIC RESEARCH AND INNOVATIVE STUDIES CONGRESS, Antalya, Turkey, 9 - 10 May 2023, pp.963-979 Creative Commons License

An Encoding –Decoding Algorithm Based On Narayana Numbers

9th International Conference on IFS and Contemporary Mathematics and Engineering (IFSCOM 2023), Mersin, Turkey, 8 - 11 July 2023, pp.177, (Summary Text)

NEW NUMBER SEQUENCES BUILT ON HYBRID NUMBERS

9th International Conference on IFS and Contemporary Mathematics and Engineering (IFSCOM 2023), Mersin, Turkey, 8 - 11 July 2023, pp.16-17, (Summary Text) Creative Commons License

A New Approach To Gadovan Numbers

9th International Conference on IFS and Contemporary Mathematics and Engineering (IFSCOM 2023), Mersin, Turkey, 8 - 11 July 2023, pp.278

A NEW APPROACH TO NARAYANA HYBRID SEQUENCES

9th INTERNATIONAL MARDIN ARTUKLU SCIENTIFIC RESEARCHES CONFERENCE, Mardin, Turkey, 20 - 22 January 2023, pp.77-81 Creative Commons License

ON A GENERALIZATION OF MERSENNE HYBRID NUMBERS

International Conference on Computational Mathematics and Engineering Sciences (CMES-2022) , Ordu, Turkey, 20 - 22 May 2022, pp.72 Creative Commons License

On Catalan Transformations of the Gaussian Fibonacci Sequence

2 nd International Congress of Engineering and Natural Sciences (ICENSS 2022), Ankara, Turkey, 7 - 09 May 2022, pp.388-393, (Full Text) Creative Commons License

FIBONACCI SEQUENCES IN FINITE GROUPS

2 nd International Congress of Engineering and Natural Sciences , Ankara, Turkey, 7 - 09 May 2022, pp.496-510 Creative Commons License

A new family of the k-Fibonacci polynomials

Academia International Conference on Mathematics and Mathematics Education, Siirt, Turkey, 1 - 03 December 2021, pp.44-46 Creative Commons License

Pell Sayıları ile ilişkili olarak elde edilen Pell fonksiyonları

Prof. Dr. Cemil Yapar Anısına Ulusal Matematik ve İstatistik Sempozyumu, Ordu, Turkey, 10 - 11 December 2021, pp.1, (Summary Text)

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

7th International Mardin Artuklu Scientific Researches Conference, Mardin, Turkey, 10 - 12 December 2021, pp.1

A Generalization of Gaussian Pell-Lucas Polynomials

International Conference on Mathematics and Mathematics Education, Ankara, Turkey, 16 - 18 September 2021, pp.1

On the Catalan Transforms of the Incomplete Jacobsthal Numbers

International Conference on Mathematics and Mathematics Education, Ankara, Turkey, 16 - 18 September 2021, pp.26-27

Gauss Pell Sayı Tipleri Üzerine

33. Ulusal Matematik Sempozyumu, İstanbul, Turkey, 31 August - 03 September 2021, pp.31-37

Fibonacci Polinomlarının bir Genelleştirmesi

33. Ulusal Matematik Sempozyumu, İstanbul, Turkey, 31 August - 03 September 2021, pp.49

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, Turkey, 9 July - 10 December 2020, pp.1

The K-Narayana Sequence

International Conference on Mathematics and its Applications in Science and Engineering- ICMASE 2020, Ankara, Turkey, 9 - 10 July 2020, pp.1

On New Narayana Polynomials

International Conference on Mathematics and its Applications in Science and Engineering (ICMASE 2020), Ankara, Turkey, 9 - 10 July 2020, pp.1, (Summary Text)

A New Family k-Jacobcthal Numbers

USLARARASI MARDİN ARTUKLU BİLİMSEL ARAŞTIRMALAR KONGRESİ, Mardin, Turkey, 18 - 19 January 2020, pp.60

A New Family k-Jacobcthal-Lucas Numbers

3.ULUSLARARASI MARDİN ARTUKLU BİLİMSEL ARAŞTIRMALAR KONGRESİ, Mardin, Turkey, 18 - 19 January 2020

k-Pell Sequence

3.ULUSLARARASI MARDİN ARTUKLU BİLİMSEL ARAŞTIRMALAR KONGRESİ, Mardin, Turkey, 18 - 19 January 2020, pp.57

ON GAUSS LUCAS POLYNOMIALS

(ICMSA2018) International Conference on Mathematical Studies and Applications, Karaman, Turkey, 4 - 06 October 2018, pp.46

Genelleştirilmiş Fibonacci, Lucas polinomlarının Binet Formülleri Üzerine

31. Ulusal Matematik Sempozyumu, Erzincan, Turkey, 12 - 15 September 2018, pp.31

Gauss Fibonacci Polinomları Üzerine

31. Ulusal Matematik Sempozyumu, Erzincan, Turkey, 12 - 15 September 2018, pp.18

Tribonacci- Lucas Sayılarında Yeni Tekrarlı Bağıntılar

31. Ulusal Matematik Sempozyumu, Erzincan, Turkey, 12 - 15 September 2018, pp.27

Akarlarda (Acari) altın oran

31.Ulusal Matematik Sempozyumu, Turkey, 12 - 15 September 2018, pp.28

k-Lucas Dizilerinin Katalan Dönüşümü

31. Ulusal Matematik Sempozyumu, Erzincan, Turkey, 12 - 15 September 2018, pp.29

Tribonacci Sayılarında Yeni Tekrarlı Bağıntılar

31. Ulusal Matematik Sempozyumu, Erzincan, Turkey, 12 - 15 September 2018, pp.45

On Fibonacci Polynomials in The Family of Fibonacci Numbers

International Conference on Applied Analysis and Mathematical Modeling (ICAAMM 2018)., İstanbul, Turkey, 20 - 24 June 2018, pp.15

On 2-Fibonacci Polynomials

INTERNATIONAL CONFERENCE on MATHEMATICAL ADVANCES and APPLICATIONS (ICOMAA2018), İstanbul, Turkey, 11 - 13 May 2018, (Summary Text)

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

INTERNATIONAL CONFERENCE on MATHEMATICAL ADVANCES and APPLICATIONS (ICOMAA2018), İstanbul, Turkey, 11 - 13 May 2018, (Summary Text)

On 2-Fibonacci Polynomials

International Conference on Mathematical Advances and Applications, İstanbul, Turkey, 11 - 13 May 2018, pp.31, (Summary Text)

Explicit Computation of theUnipotent Terms in The Trace Formula for GL(2) Over a Number Field

International Conference on Mathematical Advances and Applications (ICOMAA-2018), İstanbul, Turkey, 11 - 13 May 2018, pp.30, (Summary Text)

On Fibonacci Polynomials in the Family of Fibonacci Numbers

7th International Conference on Applied Analysis and Mathematical Modeling (ICAAMM-2018), İstanbul, Turkey, 20 - 24 April 2018, pp.256

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

II. Uluslararası Iğdır Sempozyumu, Iğdır, Turkey, 9 - 11 October 2017

A New Sequence Defined by h-vectors, which is Bounded above by the Lucas number

II. Uluslararası Iğdır Sempozyumu, Iğdır, Turkey, 9 - 11 October 2017, pp.272

On The Relationship Between A Family of Fibonacci And Lucas Numbers

4 th International Conference on Recent Advences In Pure And Applied Mathematics, 11 - 15 May 2017

On The Relationship Between A Family of Fibonacci And Lucas Numbers

INTERNATIONAL CONFERENCE on RECENT ADVANCES in PURE AND APPLIED MATHEMATICS (ICRAPAM 2017), Aydın, Turkey, 11 - 15 May 2017, pp.15

Öztürk, H. and Özkan, E., The Padovan Sequences in Centro-Polyhedral Groups,

5th International Eurasian Conference on Mathematical Sciences and Applications (IECMSA-2016),, Belgrade, Serbia And Montenegro, 16 - 19 August 2016, pp.1

New Generalized Fibonacci and Lucas Polynomials

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

1) Öztürk, R.,Aydoğdu, A. and Özkan, E. An alternative proof for a lemma used in the trace formula for GL(2) over a number field,

International Conference on Pure and Applied Mathematics,ICPAM 2015, Van, Turkey, 25 - 28 August 2015, pp.2, (Full Text)

Özkan, E., Göçer, A.and Altun, İ. The relationship between nth lucas number and a sequence defined by m-sequences

, International Conference on Pure and Applied Mathematics,ICPAM 2015, Van, Turkey, 25 - 28 August 2015, pp.1, (Full Text)

Özkan, E., Altun, İ. and Göçer, A. Genelleştirilmiş Lucas Polinomları

10. Ankara Matematik Günleri, Ankara, Turkey, 11 - 12 June 2015, pp.1

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

Antalya Algebra Days XVII, 20 - 24 May,2015 Sirince, Izmir - Turkey, 20 - 24 May 2015

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

International Conference on Algebra and Number Theory, Samsun, Turkey, 5 - 08 August 2014, pp.16-17, (Summary Text)

Başdaş, S. ve Özkan, E., Halka ve Modül Kategorileri

26.ULUSAL MATEMATİK SEMPOZYUMU, Diyarbakır, Turkey, 4 - 07 September 2013, pp.1

The Trace Formula for GL 2 over a Global Field

Second International Eurasian Conference on Mathematical Sciences and Applications, Saraybosna, Bosnia And Herzegovina, 26 - 29 August 2013, (Summary Text)

Öztürk,R., Aydoğdu, A. and Özkan, E. and Flicker, Y.Z. “ The Trace Formula for GL(2) over a Global Field

, II. Uluslararası Avrasya Matematik Bilimleri ve Uygulamaları Konferansı (IECMSA-2013), Saraybosna, Bosnia And Herzegovina, 26 - 29 August 2013, pp.43

Transfer of Orbital Integrals and Division Algebras

First International Eurasian Conference on Mathematical Sciences and Applications, Priştine, Kosovo, 3 - 07 September 2012, (Summary Text)

Aydoğdu, A., Öztürk, R., Özkan, E.. ve Flicker, Y., “Transfer of Orbital integrals and Division Algebras”.

1st International Eurasian Conference on Mathematical Sciences and Applications, Priştina, Kosova, 3 - 07 September 2012, pp.2-5

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

I. International Igdir Symposium, Iğdır, Turkey, 12 - 20 June 2012, pp.12-15

Eisenstein Tamsayıları Halkasının Bölüm Halkaları Üzerine

XXIV. Ulusal Matematik Sempozyumu, Bursa, Turkey, 7 - 10 September 2011

Öztürk,R., Aydoğdu, A. and Özkan, E. “ On The Factor Rings of Eisenstein Integers”

XXIV. National Mathematics Symposium, Bursa, Turkey, 12 - 15 July 2011, pp.1

Özkan, E. and Aydın, H., “Wall Number and Properties of Truncated Lucas Sequences”

XIX. National Mathematics Symposium, 22-25 August, Kütahya, 2006., Kütahya, Turkey, 22 - 25 August 2006, pp.1

1) Özkan, E., “On Truncated Fibonacci Sequences”

International Antalya Algebra Days VII, Antalya, Turkey, 17 - 21 May 2006, pp.20-30

Özkan, E. and Aydın, H., “Fibonacci Sequences in Finite Nilpotent Group with Class 4

”, Palandöken Mathematics Days,, Erzurum, Turkey, 17 - 21 July 2001, pp.1

Özkan, E. and Karaduman, E., “Recurrences on Nilpotent Groups”

XIII. National Mathematics Symposium (Dünya Matematik Etkinliği), İstanbul, Turkey, 12 - 16 June 2000, pp.1

Dikici, R. and Özkan, E., “General Recurrences in Modular Groups

40. Anniversary Symposium on Mathematics, Erzurum, Turkey, 11 - 14 May 1998, pp.1

Dikici, R. and Özkan, E., “3-Step General Fibonacci Sequences in Groups”,

Sakarya Mathematics Symposium, Sakarya, Turkey, 11 - 14 August 1997, pp.1
Books

An Encoding–Decoding Algorithm Based on Narayana Numbers

in: Advanced Mathematics for the Modeling and Solution of Challenging Problems in Engineering, Oscar Castillo,Gökhan Çuvalcıoğlu,Feride Tuğrul, Editor, Springer, London/Berlin , New York, pp.1-8, 2025

"Cascade Sorting for Computer Tape Merging: Fibonacci Number Conjectures

in: Advances in Computer Science, Dr. Mukesh Singla,Manisha Verma, Editor, Akinik Publications, New Delhi, pp.71-90, 2025 Creative Commons License

Polyphase Sorting for Computer Tape Merging: Multinacci Number Conjectures

in: Advances in Computer Science, Dr. Mukesh Singla,Manisha Verma, Editor, Akinik Punlications, New Delhi, pp.101-112, 2025 Creative Commons License
Metrics

Publication

177

Citation (WoS)

348

H-Index (WoS)

12

Citation (Scopus)

365

H-Index (Scopus)

11

Citation (Scholar)

1057

H-Index (Scholar)

18

Total Citation Count

1699

Project

12

Thesis Advisory

16

Open Access

114
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