Emrah Kilic, Ilker Akkus and Hideyuki Ohtsuka: Some Generalized Fibonomial Sums related with the Gaussian $q-$Binomial sums, p.51-61

Abstract:

In this paper, we consider some generalized Fibonomial sums formulae and then prove them by using the Cauchy binomial theorem and $q-$Zeilberger algorithm in Mathematica session.

Key Words: Gaussian binomial coefficient, fibonomial coefficient, $q-$binomial theorem, sums.

2000 Mathematics Subject Classification: Primary: 11B65;
Secondary: 05A10, 11B37.

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