Please use this identifier to cite or link to this item:
https://hdl.handle.net/20.500.11851/801
Title: | On Fibonomial Sums Identities With Special Sign Functions: Analytically Q-Calculus Approach | Authors: | Kılıç, Emrah Akkuş, İlker |
Keywords: | Fibonomial coefficients Gaussian q-binomial coefficients Sum identities |
Publisher: | De Gruyter Open Ltd | Source: | Kiliç, E., & Akkus, I. (2018). On Fibonomial sums identities with special sign functions: analytically q-calculus approach. Mathematica Slovaca, 68(3), 501-512. | Abstract: | Recently Marques and Trojovsky [On some new identities for the Fibonomial coefficients, Math. Slovaca 64 (2014), 809-818] presented interesting two sum identities including the Fibonomial coefficients and Fibonacci numbers. These sums are unusual as they include a rare sign function and their upper bounds are odd. In this paper, we give generalizations of these sums including the Gaussian q-binomial coefficients. We also derive analogue q-binomial sums whose upper bounds are even. Finally we give q-binomial sums formulæ whose weighted functions are different from the earlier ones. To prove the claimed results, we analytically use q-calculus. | URI: | https://doi.org/10.1515/ms-2017-0120 https://hdl.handle.net/20.500.11851/801 |
ISSN: | 0139-9918 |
Appears in Collections: | Matematik Bölümü / Department of Mathematics Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
Show full item record
CORE Recommender
SCOPUSTM
Citations
2
checked on Dec 21, 2024
WEB OF SCIENCETM
Citations
3
checked on Dec 21, 2024
Page view(s)
88
checked on Dec 23, 2024
Google ScholarTM
Check
Altmetric
Items in GCRIS Repository are protected by copyright, with all rights reserved, unless otherwise indicated.