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Formulæ for multi-parameter Gaussian q-binomial sums with applications

Emrah Kılıç () and Helmut Prodinger ()
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Emrah Kılıç: TOBB University of Economics and Technology Mathematics Department
Helmut Prodinger: University of Stellenbosch

Indian Journal of Pure and Applied Mathematics, 2020, vol. 51, issue 2, 457-464

Abstract: Abstract Some Gaussian q-binomial sum identities from [3] are further generalized, introducing two additional parameters. We prove the claimed results by q-calculus. Finally we present applications to the generalized Fibonomial sums as corollaries.

Keywords: Fibonomial coefficient; Fibonacci number; Lucas number; sum; 11B65; 05A30; 11B37 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s13226-020-0410-z

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