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Published in:
An Introduction to Orthogonal Polynomials Read chapter Read first chapter

2020 | OriginalPaper | Chapter

Zeros of Orthogonal Polynomials

Author : Kerstin Jordaan

Published in: Orthogonal Polynomials

Publisher: Springer International Publishing

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Abstract

In this lecture we discuss properties of zeros of orthogonal polynomials. We review properties that have been used to derive bounds for the zeros of orthogonal polynomials. Topics to be covered include Markov’s theorem on monotonicity of zeros and its generalisations, the proof of a conjecture by Askey and its extensions, interlacing properties of zeros, Sturm’s comparison theorem and convexity of zeros.

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previous chapter -Rogers–Szegö and Hermite Polynomials, and Induced Deformed Quantum Algebras
next chapter Properties of Certain Classes of Semiclassical Orthogonal Polynomials
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Metadata
Title
Zeros of Orthogonal Polynomials
Author
Kerstin Jordaan
Copyright Year
2020
Book
Orthogonal Polynomials

Print ISBN: 978-3-030-36743-5

Electronic ISBN: 978-3-030-36744-2

Copyright Year: 2020

DOI
https://doi.org/10.1007/978-3-030-36744-2_17

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