Incomplete q-Chebyshev Polynomials
Number Theory
2016-03-28 v1
Abstract
In this paper, we get the generating functions of q-Chebyshev polynomials using operator. Also considering explicit formulas of q-Chebyshev polynomials, we give new generalizations of q-Chebyshev polynomials called incomplete q-Chebyshev polynomials of the first and second kind. We obtain recurrence relations and several properties of these polynomials. We show that there are connections between incomplete q-Chebyshev polynomials and the some well-known polynomials. Keywords: q-Chebyshev polynomials, q-Fibonacci polynomials, Incomplete polynomials, Fibonacci number
Keywords
Cite
@article{arxiv.1603.07884,
title = {Incomplete q-Chebyshev Polynomials},
author = {Elif Ercan and Mirac Cetin Firengiz and Naim Tuglu},
journal= {arXiv preprint arXiv:1603.07884},
year = {2016}
}