淡江大學機構典藏:Item 987654321/41314
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    題名: Some multiple hypergeometric transformations and associated reduction formulas
    作者: 張慧京;Chan, Whei-Ching C.;陳功宇;Chen, Kung-yu;錢傳仁;Chyan, Chuan-jen;Srivastava, H. M.
    貢獻者: 淡江大學數學學系
    關鍵詞: Hypergeometric transformations;Reduction formulas;Series identities;Appell functions;Kampé de Fériet function;Lauricella functions;Generating functions;Jacobi polynomials;Pfaff–Kummer transformation
    日期: 2004-06-15
    上傳時間: 2010-01-28 07:17:28 (UTC+8)
    出版者: Elsevier
    摘要: 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.
    關聯: Journal of Mathematical Analysis and Applications 294(2), pp.418-437
    DOI: 10.1016/j.jmaa.2004.02.008
    顯示於類別:[數學學系暨研究所] 期刊論文

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