Results on the associated Jacobi and Gegenbauer polynomials

DOI10.1016/0377-0427(93)90144-ZzbMath0797.33004MaRDI QIDQ1318398

Stanisław Lewanowicz

Publication date: 10 October 1994

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

zbMATH Keywords

associated Jacobi polynomialsassociated Gegenbauer polynomials

Mathematics Subject Classification ID

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

Related Items (6)

Results on the associated classical orthogonal polynomials ⋮ Fast associated classical orthogonal polynomial transforms ⋮ About families of orthogonal polynomials satisfying Heun's differential equation ⋮ Connection problems for polynomial solutions of nonhomogeneous differential and difference equations ⋮ Numerical evaluation of the \(p\)th derivative of Jacobi series ⋮ On the numerical evaluation of linear recurrences

Cites Work

• Pollaczek polynomials and Padé approximants: Some closed-form expressions
• The weight functions, generating functions and miscellaneous properties of the sequences of orthogonal polynomials of the second kind associated with the Jacobi and the Gegenbauer polynomials
• Co-recursive orthogonal polynomials and fourth-order differential equation
• Quick construction of recurrence relations for the Jacobi coefficients
• Some remarks on uniform asymptotic expansions for Bessel functions
• Properties of the Polynomials Associated with the Jacobi Polynomials
• Explicit Formulas for the Associated Jacobi Polynomials and Some Applications
• The Associated Ultraspherical Polynomials and their _q-Analogues
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