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arXiv:1709.03037 [math.CA]AbstractReferencesReviewsResources

Exploring the zeros of real self-reciprocal polynomials by Chebyshev polynomials

Vanessa Botta

Published 2017-08-29Version 1

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.

Comments: 11 pages; Paper presented at 14th International Symposium on Orthogonal Polynomials, Special Functions and Applications (OPSFA 2017)
Categories: math.CA, math.NA
Subjects: 26C10, 12D10, 30C15
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