Two Families of Associated Wilson Polynomials

DOI10.4153/CJM-1990-035-4zbMath0712.33005OpenAlexW1993489318MaRDI QIDQ3497353

Jean Letessier, Galliano Valent, Jet Wimp, Mourad E. H. Ismail

Publication date: 1990

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cjm-1990-035-4

zbMATH Keywords

continued fractionsWilson 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 (17)

Co-recursive associated Jacobi polynomials ⋮ Computation of limit periodic continued fractions. A survey ⋮ Current trends in asymptotics: Some problems and some solutions ⋮ Asymptotic behavior of solutions of three-term Poincaré difference equations ⋮ The impact of Stieltjes' work on continued fractions and orthogonal polynomials: Additional material ⋮ Some generating functions for the associated Askey-Wilson polynomials ⋮ A sampling theorem related to the Wilson transform ⋮ The bilateral birth–death chain generated by the associated Jacobi polynomials ⋮ Utility of integral representations for basic hypergeometric functions and orthogonal polynomials ⋮ Diophantine properties of orthogonal polynomials and rational functions ⋮ Plancherel-Rotach asymptotics of second-order difference equations with linear coefficients ⋮ Associated Wilson polynomials ⋮ The Associated Askey-Wilson Polynomials ⋮ Contiguous relations, basic hypergeometric functions, and orthogonal polynomials. II: Associated big \(q\)-Jacobi polynomials ⋮ The continuous symmetric Hahn polynomials found in Ramanujan's lost notebook ⋮ Discriminants and functions of the second kind of orthogonal polynomials ⋮ Asymptotics for the \({}_ 4F_ 3\) polynomials

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