Additional close links between balancing and Lucas-balancing polynomials
Number Theory
2020-07-29 v1
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.
Cite
@article{arxiv.2007.14048,
title = {Additional close links between balancing and Lucas-balancing polynomials},
author = {Robert Frontczak and Taras Goy},
journal= {arXiv preprint arXiv:2007.14048},
year = {2020}
}
Comments
14 pages