Name: On the location of zeros of quasi-orthogonal polynomials with applications to some real self-reciprocal polynomials
Keywords: quasi-orthogonal polynomials, zeros, unit circle, Chebyshev polynomials, symmetric orthogonal polynomials, Real polynomials: location of zeros, self-reciprocal polynomials

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2021 English Publisher:Element d.o.o.Journal:Journal of Classical Analysis (issn: 1848-5987,

Authors: Botta, Vanessa; Suni, Mijael Hancco;

doi: 10.7153/jca-2022-19-08 , 10.7153/jca-2021-19-08

On the location of zeros of quasi-orthogonal polynomials with applications to some real self-reciprocal polynomials

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Abstract

Summary: In this paper, we present new results on the location of zeros of some classes of quasiorthogonal polynomials. From the Chebyshev polynomials, we obtain some classes of real selfreciprocal polynomials, and investigate the location and monotonicity of their zeros.

Keywords

quasi-orthogonal polynomials, zeros, unit circle, Chebyshev polynomials, symmetric orthogonal polynomials, Real polynomials: location of zeros, self-reciprocal polynomials

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