Co-recursive associated Jacobi polynomials

DOI10.1016/0377-0427(93)E0246-IzbMath0828.42013MaRDI QIDQ1893581

Jean Letessier

Publication date: 2 January 1996

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

zbMATH Keywords

orthogonal polynomialshypergeometric functionsJacobi polynomialsthree term recurrence relation

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) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items

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, Generalized hypergeometric solutions of the Heun equation, Computation of Newton sum rules for associated and co-recursive classical orthogonal polynomials, Generalized-hypergeometric solutions of the general Fuchsian linear ODE having five regular singularities, Generalized-hypergeometric solutions of the biconfluent Heun equation

Cites Work

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• Co-recursive orthogonal polynomials and fourth-order differential equation
• Two families of orthogonal polynomials related to Jacobi polynomials
• On co-recursive associated Laguerre polynomials
• The special functions and their approximations. Vol. I, II
• On Co-Recursive Orthogonal Polynomials
• Two Families of Associated Wilson Polynomials
• Explicit Formulas for the Associated Jacobi Polynomials and Some Applications