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# Mathematica Slovaca

Editor-in-Chief: Pulmannová, Sylvia

IMPACT FACTOR 2018: 0.490

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Volume 69, Issue 2

# Evaluation of sums involving products of Gaussian q-binomial coefficients with applications

Emrah Kiliç
/ Helmut Prodinger
Published Online: 2019-03-18 | DOI: https://doi.org/10.1515/ms-2017-0226

## Abstract

Sums of products of two Gaussian q-binomial coefficients, are investigated, one of which includes two additional parameters, with a parametric rational weight function. By means of partial fraction decomposition, first the main theorems are proved and then some corollaries of them are derived. Then these q-binomial identities will be transformed into Fibonomial sums as consequences.

MSC 2010: Primary 11B39; Secondary 05A30

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Accepted: 2018-06-11

Published Online: 2019-03-18

Published in Print: 2019-04-24

(Communicated by Milan Paštéka)

Citation Information: Mathematica Slovaca, Volume 69, Issue 2, Pages 327–338, ISSN (Online) 1337-2211, ISSN (Print) 0139-9918,

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