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Title: On sums of squares of Fibonomial coefficients by q-calculus
Authors: Kılıç, Emrah
Yalçıner, Aynur
Keywords: Central Fibonomial coefficients
sums identities
Issue Date: Sep-2016
Publisher: World Scientific Publishing Co. Pte Ltd
Source: Kılıç, E., & Yalçıner, A. (2016). On sums of squares of Fibonomial coefficients by q-calculus. Asian-European Journal of Mathematics, 9(03), 1650062.
Abstract: We present some new kinds of sums of squares of Fibonomial coefficients with finite products of generalized Fibonacci and Lucas numbers as coefficients. As proof method, we will follow the method given in [E. Kili, c and H. Prodinger, Closed form evaluation of sums containing squares of Fibonomial coefficients, accepted in Math. Slovaca]. For this, first we translate everything into q-notation, and then to use generating functions and Rothe's identity from classical q-calculus.
ISSN: 1793-5571
Appears in Collections:Matematik Bölümü / Department of Mathematics
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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