Special functions and generating functions associated with reflection groups. (Q1874155)

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scientific article; zbMATH DE number 1915232
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Special functions and generating functions associated with reflection groups.
scientific article; zbMATH DE number 1915232

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    Special functions and generating functions associated with reflection groups. (English)
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    22 May 2003
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    An interesting account of multivariable special functions connected with reflection groups of finite orders has been presented via algebra of differential-difference operators. The finite groups considered here are the dihedral group, the symmetric group, the hyperoctahedral group and the icosahedral group. The paper is an excellent example of inter-disciplinary work.
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    multivariable special functions
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    reflection groups
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    differential-difference operator
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    icosahedral symmetry
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    orthogonal polynomials
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    Dunkl operators
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    icosahedron
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