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Integral Representations of the Wilson Polynomials and the Continuous Dual Hahn Polynomials
Authors:Katsuhisa Mimachi
Institution:aDepartment of Mathematics, Kyushu University 33, Hakozaki, Fukuoka, 812-8581, Japanf1
Abstract:We give representations of the Wilson polynomials and the continuous dual Hahn polynomials in terms of multidimensional generalizations of Barnes type integrals. Motivation is to study the Barnes type integrals from the viewpoint of the de Rham theory and holonomic systems.
Keywords:Wilson polynomials  continuous dual Hahn polynomials  multidimensional generalizations of Barnes type integrals
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