Partial Fibonomial and Lucanomial Sums through the extended $q$-Kummer formula

Wenchang Chu; Emrah Kilic

Vol. 29 No. 2 (2024)

Regular Articles

Partial Fibonomial and Lucanomial Sums through the extended $q$-Kummer formula

Published 2024-10-04

Wenchang Chu
Emrah Kilic

Wenchang Chu
Department of Mathematics and Physics University of Salento

Emrah Kilic
TOBB Economics and Technology University Mathematics Department

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Abstract

By employing identities for extended $q$-Kummer theorems, we examine \emph{partial} sums involving products of two Fibonomial/Lucanomial coefficients. Seven remarkable closed formulae are established.

Keywords

, Gaussian coefficient, $q$-binomial coefficient, $q$-Kummer formula, partial sums, Fibonomial coefficient, Lucanomial coefficient

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Supplementary File(s)

5130-14959-1-SP - final

Author Biography

Emrah Kilic

Professor,

TOBB Economics and Technology University, Mathematics Department