Copy For Citation
Taştan M., Yılmaz N., Özkan E.
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, vol.15, no.12, pp.22502254, 2022 (ESCI)
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Publication Type:
Article / Article
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Volume:
15
Issue:
12
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Publication Date:
2022
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Doi Number:
10.1142/s1793557122502254
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Journal Name:
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS
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Journal Indexes:
Emerging Sources Citation Index (ESCI), Scopus, zbMATH
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Page Numbers:
pp.22502254
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Keywords:
Cassini identity, Fibonacci number, Gauss number, generating function, Horadam number
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Erzincan Binali Yildirim University Affiliated:
Yes
Abstract
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.