Original scientific paper

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

Wenchang Chu ; School of Mathematics and Statistics, Zhoukou Normal University, Henan, P. R. China
Emrah Kilic ; TOBB University of Economics and Technology, Mathematics Department, Ankara, Turkey

Abstract

By employing identities for extended q-Kummer theorems, we examine 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

Hrčak ID:

321251

URI

https://hrcak.srce.hr/321251

Publication date:

7.10.2024.

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