Applications of the monotonicity of extremal zeros of orthogonal polynomials in interlacing and optimization problems

DOI10.1016/j.amc.2010.11.032zbMath1210.33015OpenAlexW2046510708MaRDI QIDQ621025

Wolfgang Erb, Ferenc Toókos

Publication date: 2 February 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.11.032

zbMATH Keywords

associated Jacobi polynomialsinterlacing of zerosmonotonicity of zeros\(q\)-Meixner-Pollaczek polynomialsassociated Gegenbauer polynomialsorthogonal polynomials on the unit ball

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items

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Uses Software

• OPQ

Cites Work

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