A multidimensional generalization of the Barnes integral and the continuous Hahn polynomial

DOI10.1006/jmaa.1999.6323zbMath0933.33017OpenAlexW2009266538MaRDI QIDQ1295886

Katsuhisa Mimachi

Publication date: 27 March 2000

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/430cc228bee8ed2348c83d8bc1a150400a87e594

zbMATH Keywords

continuous Hahn polynomialsmultidimensional Barnes integralvan Diejen

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Generalized hypergeometric series, ({}_pF_q) (33C20) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Orthogonal polynomials and functions in several variables expressible in terms of special functions in one variable (33C50)

Related Items (2)

Integral representations of the Wilson polynomials and the continuous dual Hahn polynomials ⋮ A duality of MacDonald-Koornwinder polynomials and its application to integral representations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A solution to quantum Knizhnik-Zamolodchikov equations and its application to eigenvalue problems of the Macdonald type
• Schur functions, Good's identity, and hypergeometric series well poised in SU(n)
• Geometric \(q\)-hypergeometric functions as a bridge between Yangians and quantum affine algebras
• Traces of intertwining operators for the Yangian double
• Singular vectors of the Virasoro algebra in terms of Jack symmetric polynomials
• A generalization of Selberg’s beta integral
• Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
• The Hahn and Meixner polynomials of an imaginary argument and some of their applications
• Continuous Hahn polynomials
• Jacobi Polynomials Associated with Selberg Integrals
• q-Series and Orthogonal Polynomials Associated with Barnes’ First Lemma
• A Set of Orthogonal Polynomials That Generalize the Racah Coefficients or $6 - j$ Symbols
• Some Hypergeometric Orthogonal Polynomials
• Properties of some families of hypergeometric orthogonal polynomials in several variables
• Multivariable continuous Hahn and Wilson polynomials related to integrable difference systems
• A new class of symmetric functions

This page was built for publication: A multidimensional generalization of the Barnes integral and the continuous Hahn polynomial