On Markov’s theorem on zeros of orthogonal polynomials revisited

This paper briefly surveys Markov’s theorem related to zeros of orthogonal polynomials. Monotonicity of zeros of some families of orthogonal polynomials are reviewed in detail.

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Bibliographic Details
Published in:Applied mathematics and computation 2018-12, Vol.339, p.390-397
Main Authors: Castillo, K., Costa, M.S., Rafaeli, F.R.
Format: Article
Language:English
Subjects:
Gegenbauer polynomials
Jacobi polynomials
Laguerre polynomials
Orthogonal polynomials
Zeros
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Description
Summary:This paper briefly surveys Markov’s theorem related to zeros of orthogonal polynomials. Monotonicity of zeros of some families of orthogonal polynomials are reviewed in detail.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2018.07.048