Some Gaussian binomial sum formulæ with applications

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

Indian Journal of Pure and Applied Mathematics, 2016, vol. 47, issue 3, 399-407

Abstract: Abstract We introduce and compute some Gaussian q-binomial sums formulæ. In order to prove these sums, our approach is to use q-analysis, in particular a formula of Rothe, and computer algebra. We present some applications of our results.

Keywords: Gaussian binomial coefficients; Fibonacci numbers; q-analogues; sum formulæ; CAS (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s13226-016-0175-6

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