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Two new multivariable generating relations

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Arkiv för Matematik

Abstract

A multidimensional extension of Bailey's transform is utilised to deduce two new generating relations of quite a general character. These expressions are then specialised to give more practical formulae in terms of Karlsson's generalised Kampé de Fériet functions which embody very many generating relations. A number of interesting special cases are given in an appendix which includes results involving Lauricella polynomials, generalised hypergeometric polynomials and the polynomials of Meixner, Charlier and Laguerre.

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Authors and Affiliations

  1. “Nyuggel” Lunabister, Dunrossness, ZE2 9JH, Shetland, UK

    Harol Exton

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  1. Harol Exton
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Exton, H. Two new multivariable generating relations. Ark. Mat. 30, 245–258 (1992). https://doi.org/10.1007/BF02384873

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  • DOI: https://doi.org/10.1007/BF02384873

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