Additional close links between balancing and Lucas-balancing polynomials

2020/07/28 by Frontczak, Robert, Goy, Taras
#11B37 #11B39 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2007.14048

Abstract

Using generating functions, we derive many identities involving balancing and Lucas-balancing polynomials. By relating these polynomials to Chebyshev polynomials of the first and second kind, and Fibonacci and Lucas numbers, we offer some presumably new combinatorial identities involving these famous sequences.

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