English  |  正體中文  |  简体中文  |  全文筆數/總筆數 : 51510/86705 (59%)
造訪人次 : 8267217      線上人數 : 108
RC Version 7.0 © Powered By DSPACE, MIT. Enhanced by NTU Library & TKU Library IR team.
搜尋範圍 查詢小技巧:
  • 您可在西文檢索詞彙前後加上"雙引號",以獲取較精準的檢索結果
  • 若欲以作者姓名搜尋,建議至進階搜尋限定作者欄位,可獲得較完整資料
  • 進階搜尋
    請使用永久網址來引用或連結此文件: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/58700


    題名: Certain classes of polynomial expansions and multiplication formulas
    作者: 陳功宇;Chen, Kung-yu;Chyan, C. J.;Srivastava, H. M.錢傳仁= Chyan, Chuan-jen;Srivastava, H. M.;Chen, Kung-yu
    貢獻者: 淡江大學數學學系
    關鍵詞: Polynomial expansions;Multiplication formulas;Bernoulli and Euler polynomials;Generalized hypergeometric polynomials;Generating functions;Dixon's summation theorem;Jacobi polynomials;Laguerre polynomials;Generalized Bessel polynomials;Hermite polynomials;Gegenbauer (or ultraspherical) polynomials;Generalized Rice polynomials;Chu-Vandermonde theorem;Legendre (or spherical) polynomials;Chebyshev polynomials
    日期: 2003-01-01
    上傳時間: 2011-10-01 21:04:21 (UTC+8)
    摘要: The authors first present a class of expansions in a series of Bernoulli polyomials and then show how this general result can be applied to yield various (known or new) polynomial expansions. The corresponding expansion problem involving the Euler polynomials is then considered in an analogous manner. Several general multiplication formulas, involving (for example) certain families of generalized hypergeometric polynomials, are also investigated in the context especially of the classical Jacobi, Laguerre, and other related orthogonal polynomials.
    關聯: Mathematical and computer modelling 37(1-2), pp.135-154
    DOI: 10.1016/S0895-7177(03)80010-9
    顯示於類別:[數學學系暨研究所] 期刊論文

    文件中的檔案:

    檔案 描述 大小格式瀏覽次數
    index.html0KbHTML30檢視/開啟
    index.html0KbHTML4檢視/開啟

    在機構典藏中所有的資料項目都受到原著作權保護.

    TAIR相關文章

    DSpace Software Copyright © 2002-2004  MIT &  Hewlett-Packard  /   Enhanced by   NTU Library & TKU Library IR teams. Copyright ©   - 回饋