Cubic sums of $q$-binomial coefficients and the Fibonomial coefficients

Wenchang Chu; Emrah Kılıç

doi:10.1216/RMJ-2019-49-8-2557

Abstract

Triple product sums on the generalized Fibonomial and Lucanomial coefficients are evaluated in closed forms by means of Bailey's summation formulae for two terminating well-poised $_3\phi _2$-series.

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Wenchang Chu. Emrah Kılıç. "Cubic sums of $q$-binomial coefficients and the Fibonomial coefficients." Rocky Mountain J. Math. 49 (8) 2557 - 2569, 2019. https://doi.org/10.1216/RMJ-2019-49-8-2557

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Published: 2019

First available in Project Euclid: 31 January 2020

zbMATH: 07163186

MathSciNet: MR4058337

Digital Object Identifier: 10.1216/RMJ-2019-49-8-2557

Subjects:

Primary: 11B39

Secondary: 05A30 , 11B65

Keywords: $q$-binomial coefficient , Basic hypergeometric series , Fibonomial coefficient , Lucanomial coefficient , well-poised series.

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