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

  • Emrah Kiliç EMAIL logo and Helmut Prodinger
From the journal Mathematica Slovaca

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.

  1. (Communicated by Milan Paštéka)

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Received: 2018-05-11
Accepted: 2018-06-11
Published Online: 2019-03-18
Published in Print: 2019-04-24

© 2019 Mathematical Institute Slovak Academy of Sciences

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