Fibonomial and Lucanomial sums through well-poised $q$-series

Year 2023, Volume: 52 Issue: 1, 62 - 72, 15.02.2023

Wenchang Chu , Emrah Kılıç

https://doi.org/10.15672/hujms.1066540

Cited By: 1

Abstract

By making use of known identities of terminating well-poised $q$-series,
we shall demonstrate several remarkable summation formulae involving
products of two Fibonomial/Lucanomial coefficients or quotients
of two such coefficients over a third one.

Keywords

Gaussian coefficient, $q$-binomial coefficient, Well-poised $q$-series, Fibonomial coefficient, Lucanomial coefficient

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