MMN-556

A proof of a conjecture of Marques and Trojovsky

Emrah Kiliç;

Abstract

In this paper, we consider Marques and Trojovsky’s conjecture involving Fibonomial coefficients, Fibonacci and Lucas numbers. After rewriting it in terms of Gaussian $q$-binomial coe¢ cients and $q$-Pochhammer symbols, we give a solution of the conjecture. The approach is to use $q$-analysis to prove the claimed formulas.


Vol. 15 (2014), No. 2, pp. 545-557
DOI: https://doi.org/10.18514/MMN.2014.556


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