淡江大學機構典藏:Item 987654321/41315
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    题名: A new summation identity for the Srivastava-Singhal polynomials
    作者: 陳功宇;Chen, Kung-yu
    贡献者: 淡江大學數學學系
    关键词: Laguerre polynomials;Generating functions;Srivastava–Singhal polynomials;Stirling numbers of the second kind;Konhauser biorthogonal polynomials;Hermite polynomials
    日期: 2004-10-15
    上传时间: 2010-01-28 07:17:32 (UTC+8)
    出版者: Elsevier
    摘要: In his recent investigations involving differential operators for some generalizations of the classical Laguerre polynomials, H. Bavinck [J. Phys. A Math. Gen. 29 (1996) L277–L279] encountered and proved a certain summation identity for the classical Laguerre polynomials. The main object of this sequel to Bavinck's work is to prove a generalization of this summation identity for the Srivastava–Singhal polynomials. The demonstration, which is presented here in the general case, differs markedly from the earlier proof given for the known special case. It is also indicated how the general summation identity can be applied to derive the corresponding result for one class of the Konhauser biorthogonal polynomials.
    關聯: Journal of Mathematical Analysis and Applications 298(2), pp.411-417
    DOI: 10.1016/j.jmaa.2004.05.043
    显示于类别:[應用數學與數據科學學系] 期刊論文

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