Triple sums including Fibonacci numbers with three binomial coefficients

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Atıf İçin Kopyala

TAŞDEMİR F.

NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, cilt.27, sa.1, ss.188-197, 2021 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 27 Sayı: 1
• Basım Tarihi: 2021
• Doi Numarası: 10.7546/nntdm.2021.27.1.188-197
• Dergi Adı: NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
• Sayfa Sayıları: ss.188-197
• Yozgat Bozok Üniversitesi Adresli: Evet

Özet

In this paper, we consider some triple sums that involve Fibonacci numbers with three binomial coefficients. We chose the indices of Fibonacci numbers as linear combination of the summation indices. Moreover, various types of alternating analogues of them whose powers depend on the index or indices are computed. These sums are evaluated in nice multiplication forms in terms of Fibonacci and Lucas numbers.