Classical orthogonal polynomials revisited

DOI10.1007/s00025-023-01934-2zbMath1522.33007arXiv2110.00401MaRDI QIDQ6113090

J. Petronilho, Kenier Castillo

Publication date: 10 July 2023

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2110.00401

zbMATH Keywords

classical orthogonal polynomialsmoment linear functionalsalgebraic theory of orthogonal polynomials

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)

Related Items (1)

Semi-classical orthogonal polynomials associated with a modified Gaussian weight

Cites Work

• Variations around classical orthogonal polynomials. Connected problems
• On the functional equation for classical orthogonal polynomials on lattices
• On the solution of some distributional differential equations: existence and characterizations of the classical moment functionals
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