Monotonicity of the zeros of orthogonal polynomials through related measures

DOI10.1016/J.JMAA.2005.03.028zbMath1072.42021OpenAlexW2094657472MaRDI QIDQ557022

T. G. Vazquez, A. Sri Ranga, Alex P. da Silva

Publication date: 23 June 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11449/33745

zbMATH Keywords

orthogonal polynomialsgeneralized Jacobi polynomialsthree term recurrence relationKoornwinder polynomialsgeneralized Laguerre polynomialsgeneralized Charlier polynomialsrelated measures

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15)

Cites Work

• Sur la suite de polynômes orthogonaux associée à la forme \(u=\delta_ c+\lambda (x-c)^{-1}L\). (On the sequence of orthogonal polynomials associated with the form \(u=\delta_ c+\lambda (x-c)^{- 1}L)\)
• Orthogonal polynomials associated with related measures and Sobolev orthogonal polynomials
• Chain sequences and symmetric generalized orthogonal polynomials
• Orthogonal polynomials and coherent pairs: The classical case
• Orthogonal Polynomials With Weight Function (1 - x)^α( l + x)^β + Mδ(x + 1) + Nδ(x - 1)
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