Multiple Wilson and Jacobi--Piñeiro polynomials

DOI10.1016/j.jat.2004.12.001zbMath1066.33005arXivmath/0303093OpenAlexW2031424880MaRDI QIDQ1775000

Jonathan Coussement, Bernhard Beckermann, Walter Van Assche

Publication date: 4 May 2005

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0303093

zbMATH Keywords

hypergeometric functionsmultiple orthogonal 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) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Other special orthogonal polynomials and functions (33C47)

Related Items (14)

Strong asymptotics for the Pollaczek multiple orthogonal polynomials ⋮ Construction of the optimal set of two or three quadrature rules in the sense of Borges ⋮ Generalized weighted Birkhoff-Young quadratures with the maximal degree of exactness ⋮ Hahn multiple orthogonal polynomials of type I: hypergeometric expressions ⋮ Multiple Meixner-Pollaczek polynomials and the six-vertex model ⋮ \(d\)-orthogonality of little \(q\)-Laguerre type polynomials ⋮ Construction of the optimal set of quadrature rules in the sense of Borges ⋮ Multiple Askey–Wilson polynomials and related basic hypergeometric multiple orthogonal polynomials ⋮ On multiple Appell polynomials ⋮ \(d\)-orthogonality of Humbert and Jacobi type polynomials ⋮ Difference equations for discrete classical multiple orthogonal polynomials ⋮ Gaussian quadrature for multiple orthogonal polynomials ⋮ INTEGRAL REPRESENTATIONS FOR THE JACOBI–PINEIRO POLYNOMIALS AND THE FUNCTIONS OF THE SECOND KIND ⋮ On Askey-scheme and \(d\)-orthogonality. I: A characterization theorem

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