Exploring the zeros of real self-reciprocal polynomials by Chebyshev polynomials
Classical Analysis and ODEs
2017-09-12 v1 Numerical Analysis
Abstract
In this paper we present some classes of real self-reciprocal polynomials with at most two zeros outside the unit circle which are connected with a Chebyshev quasi-orthogonal polynomials of order one. We investigated the distribution, simplicity and monotonicity of their zeros around the unit circle and real line.
Cite
@article{arxiv.1709.03037,
title = {Exploring the zeros of real self-reciprocal polynomials by Chebyshev polynomials},
author = {Vanessa Botta},
journal= {arXiv preprint arXiv:1709.03037},
year = {2017}
}
Comments
11 pages; Paper presented at 14th International Symposium on Orthogonal Polynomials, Special Functions and Applications (OPSFA 2017)