Atıf İçin Kopyala
Taştan M., Yılmaz N., Özkan E.
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, cilt.15, sa.12, ss.22502254, 2022 (ESCI)
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Yayın Türü:
Makale / Tam Makale
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Cilt numarası:
15
Sayı:
12
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Basım Tarihi:
2022
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Doi Numarası:
10.1142/s1793557122502254
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Dergi Adı:
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS
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Derginin Tarandığı İndeksler:
Emerging Sources Citation Index (ESCI), Scopus, zbMATH
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Sayfa Sayıları:
ss.22502254
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Anahtar Kelimeler:
Cassini identity, Fibonacci number, Gauss number, generating function, Horadam number
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Erzincan Binali Yıldırım Üniversitesi Adresli:
Evet
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.