Nonlinear equations for the recurrence coefficients of discrete orthogonal polynomials

DOI10.1016/j.jmaa.2010.11.039zbMath1215.39007OpenAlexW2029799192MaRDI QIDQ624580

Mourad E. H. Ismail, Plamen C. Simeonov

Publication date: 9 February 2011

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.11.039

zbMATH Keywords

weight functiondiscrete orthogonal polynomialsnonlinear difference equationsthree term recurrence relationraising and lowering operatorspolynomials orthogonal on grids

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Discrete version of topics in analysis (39A12) Other special orthogonal polynomials and functions (33C47) Numerical aspects of recurrence relations (65Q30)

Related Items (5)

Linear graininess time scales and ladder operators of orthogonal polynomials ⋮ Laguerre-Freud equations for Generalized Hahn polynomials of type I ⋮ Matrix factorizations and orthogonal polynomials ⋮ Asymptotic analysis of a family of Sobolev orthogonal polynomials related to the generalized Charlier polynomials ⋮ Orthogonal polynomials on a bi-lattice

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