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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/41314

    Title: Some multiple hypergeometric transformations and associated reduction formulas
    Authors: 張慧京;Chan, Whei-Ching C.;陳功宇;Chen, Kung-yu;錢傳仁;Chyan, Chuan-jen;Srivastava, H. M.
    Contributors: 淡江大學數學學系
    Keywords: Hypergeometric transformations;Reduction formulas;Series identities;Appell functions;Kampé de Fériet function;Lauricella functions;Generating functions;Jacobi polynomials;Pfaff–Kummer transformation
    Date: 2004-06-15
    Issue Date: 2010-01-28 07:17:28 (UTC+8)
    Publisher: Elsevier
    Abstract: The main object of the present paper is to derive various classes of double-series identities and to show how these general results would apply to yield some (known or new) reduction formulas for the Appell, Kampé de Fériet, and Lauricella hypergeometric functions of several variables. A number of closely-related linear generating functions for the classical Jacobi polynomials are also investigated.
    Relation: Journal of Mathematical Analysis and Applications 294(2), pp.418-437
    DOI: 10.1016/j.jmaa.2004.02.008
    Appears in Collections:[Graduate Institute & Department of Mathematics] Journal Article

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