English

A simple approach to q-Chebyshev polynomials

Combinatorics 2012-01-31 v2 Classical Analysis and ODEs

Abstract

It is shown that some q-analogues of the Fibonacci and Lucas polynomials lead to q-analogues of the Chebyshev polynomials which retain most of their elementary properties.

Keywords

Cite

@article{arxiv.1201.4703,
  title  = {A simple approach to q-Chebyshev polynomials},
  author = {Johann Cigler},
  journal= {arXiv preprint arXiv:1201.4703},
  year   = {2012}
}

Comments

29 pages, Rodrigues-type formulae have been added

R2 v1 2026-06-21T20:08:23.974Z