On Markov’s theorem on zeros of orthogonal polynomials revisited

作者:

Highlights:

摘要

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.

论文关键词:Orthogonal polynomials,Zeros,Jacobi polynomials,Gegenbauer polynomials,Laguerre polynomials

论文评审过程:Received 16 January 2018, Revised 1 July 2018, Accepted 22 July 2018, Available online 10 August 2018, Version of Record 10 August 2018.

论文官网地址:https://doi.org/10.1016/j.amc.2018.07.048