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

Authors : Wenchang CHU, Emrah KILIÇ

Pages : 62-72

Doi:10.15672/hujms.1066540

View : 21 | Download : 7

Publication Date : 2023-02-15

Article Type : Research Paper

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