- Hacettepe Journal of Mathematics and Statistics
- Vol: 52 Issue: 1
- Fibonomial and Lucanomial sums through well-poised $q$-series
Fibonomial and Lucanomial sums through well-poised $q$-series
Authors : Wenchang Chu, Emrah Kiliç
Pages : 62-72
Doi:10.15672/hujms.1066540
View : 12 | Download : 4
Publication Date : 2023-02-15
Article Type : Research
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