On co-recursive associated Laguerre polynomials

DOI10.1016/0377-0427(93)90143-YzbMath0792.33005MaRDI QIDQ1318397

Jean Letessier

Publication date: 25 July 1994

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

zbMATH Keywords

associated Laguerre-polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (9)

Co-recursive associated Jacobi polynomials ⋮ Fourth-order differential equations satisfied by the generalized co- recursive of all classical orthogonal polynomials. A study of their distribution of zeros ⋮ A note on the generalized-hypergeometric solutions of general and single-confluent Heun equations ⋮ Laguerre–Hahn orthogonal polynomials on the real line ⋮ Computation of Newton sum rules for associated and co-recursive classical orthogonal polynomials ⋮ Associated orthogonal polynomials of the first kind and Darboux transformations ⋮ Generalized-hypergeometric solutions of the biconfluent Heun equation ⋮ Generalized confluent hypergeometric solutions of the Heun confluent equation ⋮ The classical β-ensembles with β proportional to 1/N: From loop equations to Dyson’s disordered chain

Uses Software

• Maple

Cites Work

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• Deducing infinitely many mutually related sequences of orthogonal polynomials from solutions of first-order initial-value problems: An illustrative example
• Linear birth and death models and associated Laguerre and Meixner polynomials
• Co-recursive orthogonal polynomials and fourth-order differential equation
• On Co-Recursive Orthogonal Polynomials
• Associated Laguerre and Hermite polynomials
• Fourth-order differential equations for numerator polynomials
• Special Functions, Stieltjes Transforms and Infinite Divisibility

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