Atıf İçin Kopyala
Taştan M., Yılmaz N., Özkan E.
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, cilt.15, sa.12, ss.22502254, 2022 (ESCI)
-
Yayın Türü:
Makale / Tam Makale
-
Cilt numarası:
15
Sayı:
12
-
Basım Tarihi:
2022
-
Doi Numarası:
10.1142/s1793557122502254
-
Dergi Adı:
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS
-
Derginin Tarandığı İndeksler:
Emerging Sources Citation Index (ESCI), Scopus, zbMATH
-
Sayfa Sayıları:
ss.22502254
-
Anahtar Kelimeler:
Cassini identity, Fibonacci number, Gauss number, generating function, Horadam number
-
Marmara Üniversitesi Adresli:
Hayır
Özet
We present a new family of Gauss [Formula: see text]-Horadam numbers and obtain Binet formula of this family. We give the relationship between this family and the known Gauss [Formula: see text]-Horadam number. Then we prove the Cassini and Catalan identities for this family. Furthermore, we investigate the sums, the recurrence relations and generating functions of this family.