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, cilt.44, sa.1, ss.307-318, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 44 Sayı: 1
  • Basım Tarihi: 2020
  • Doi Numarası: 10.3906/mat-1907-117
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.307-318
  • Hacettepe Üniversitesi Adresli: Evet

Özet

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.