Evaluation of sums of products of Gaussian q-binomial coefficients with rational weight functions

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ARIKAN T., KILIÇ E., Prodinger H.

TURKISH JOURNAL OF MATHEMATICS, vol.44, no.1, pp.307-318, 2020 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 44 Issue: 1
  • Publication Date: 2020
  • Doi Number: 10.3906/mat-1907-117
  • Journal Name: TURKISH JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.307-318
  • Hacettepe University Affiliated: Yes

Abstract

Generalizing earlier results, sums over the products of the Gaussian q-binomial coefficients are computed. Some applications of the results for special choices of q are emphasized. The results are obtained by the elementary technique of partial fraction decomposition.