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

In: Mathematica Slovaca, vol. 69, no. 2
Emrah Kiliç - Helmut Prodinger

Details:

Year, pages: 2019, 327 - 338
Keywords:
Gaussian $q$-binomial coefficients, Fibonomial and Lucanomial coefficients, sums identites, partial fraction decomposition
About article:
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.
How to cite:
ISO 690:
Kiliç, E., Prodinger, H. 2019. Evaluation of sums involving products of Gaussian $q$-binomial coefficients with applications. In Mathematica Slovaca, vol. 69, no.2, pp. 327-338. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0226

APA:
Kiliç, E., Prodinger, H. (2019). Evaluation of sums involving products of Gaussian $q$-binomial coefficients with applications. Mathematica Slovaca, 69(2), 327-338. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0226
About edition:
Published: 27. 3. 2019