Associated Wilson polynomials

DOI10.1007/BF01888173zbMath0746.33003MaRDI QIDQ1176329

David R. Masson

Publication date: 25 June 1992

Published in: Constructive Approximation (Search for Journal in Brave)

zbMATH Keywords

weight functionrecurrence relationcontinued fractionWilson polynomialsassociated Wilson polynomialsgeneralization of Dougall's theorem

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items (9)

Computation of limit periodic continued fractions. A survey ⋮ Asymptotic behavior of solutions of three-term Poincaré difference equations ⋮ Contiguous relations, basic hypergeometric functions, and orthogonal polynomials. III: Associated continuous dual \(q\)-Hahn polynomials ⋮ A sampling theorem related to the Wilson transform ⋮ Geometric aspects of Painlevé equations ⋮ Doubly infinite Jacobi matrices revisited: resolvent and spectral measure ⋮ Contiguous relations, continued fractions and orthogonality ⋮ Contiguous relations, basic hypergeometric functions, and orthogonal polynomials. II: Associated big \(q\)-Jacobi polynomials ⋮ Asymptotics of the Wilson polynomials

Cites Work

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• Linear birth and death models and associated Laguerre and Meixner polynomials
• Quadratic Birth and Death Processes and Associated Continuous Dual Hahn Polynomials
• The rotating harmonic oscillator eigenvalue problem. I. Continued fractions and analytic continuation
• Associated Laguerre and Hermite polynomials
• Two Families of Associated Wilson Polynomials
• Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
• Explicit Formulas for the Associated Jacobi Polynomials and Some Applications
• On the definition and properties of generalized 6-j symbols
• Some Hypergeometric Orthogonal Polynomials
• Computational Aspects of Three-Term Recurrence Relations
• Relations Between Well-Poised Hypergeometric Series of the Type ₇ F ₆

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