Multivariable Wilson polynomials

DOI10.1063/1.528237zbMath0687.33014OpenAlexW2044884249MaRDI QIDQ4205722

M. V. Tratnik

Publication date: 1989

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.528237

zbMATH Keywords

Wilson polynomialscontinuous dual Hahn polynomialsbiorthogonality relationsmultivariable extensions

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (6)

\(3nj\)-symbols and identities for \(q\)-Bessel functions ⋮ Some systems of multivariable orthogonal \(q\)-Racah polynomials ⋮ Multivariable biorthogonal continuous–discrete Wilson and Racah polynomials ⋮ Theq-Onsager algebra and multivariableq-special functions ⋮ Some families of hypergeometric generating functions associated with multiple series transformations. ⋮ Some Finite Summation Formulas Involving Multivariable Hypergeometric Polynomials

Cites Work

• A q-analog of the \(_5F_4(1)\) summation theorem for hypergeometric series well-poised in \(SU(n)\)
• An elementary proof of the Macdonald identities for \(A_{\ell}^{(1)}\)
• A new symmetry related to SU(n) for clasical basic hypergeometric series
• A q-analog of hypergeometric series well-poised in SU(n) and invariant G-functions
• A \(U(n)\) generalization of Ramanujan's \(_1\Psi_1\) summation
• Basic hypergeometric series very well-poised in U(n)
• A difference equation and Hahn polynomials in two variables
• A Whipple’s Transformation for Hypergeometric Series in $U(n)$ and Multivariable Hypergeometric Orthogonal Polynomials
• A Note on Wilson Polynomials
• Dual Birth and Death Processes and Orthogonal Polynomials
• Racah polynomials and a three-term recurrence relation for the Racah coefficients
• Multilateral Summation Theorems for Ordinary and Basic Hypergeometric Series in $U(n)$.
• Remarks on some hypergeometric orthogonal polynomials of mathematical physics
• Multivariable continuous Hahn polynomials
• Multivariable biorthogonal Hahn polynomials
• A Set of Orthogonal Polynomials That Generalize the Racah Coefficients or $6 - j$ Symbols
• Some Hypergeometric Orthogonal Polynomials
• Summation Theorems for Hypergeometric Series in $U(n)$
• A Set of Hypergeometric Orthogonal Polynomials
• On Hypergeometric Series Well-Poised in $SU(n)$

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