淡江大學機構典藏:Item 987654321/32869
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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/32869


    Title: 一些特殊多項式之恆等式
    Other Titles: Identical relations on some special polynomials
    Authors: 劉瓊文;Liau, Chiung-wen
    Contributors: 淡江大學數學學系碩士班
    陳功宇;Chen, Kung-yu
    Keywords: Bavinck;Laguerre 多項式;超幾何多項式;生成函數;Bavinck;Laguerre pynomial;Hypergeometric Polynomial;generating functions
    Date: 2005
    Issue Date: 2010-01-11 02:53:19 (UTC+8)
    Abstract: 我們主要是延續Kung-Yu Chen 和H.M. Srivastava兩位教授的一些研究。利用生成函數以及複變數的一些理論繼而得到一些關於超幾何多項式的恒等式。特別地，我們得到更多的有關古典的Laguerre 多項式之一些恆等式。相較於Bavinck使用微分算子的技巧得到Laguerre 多項式關係式，我們引進了更簡單的方法。
    The main object of this paper is to a continatire work of Kung-Yu Chen and H.M. Srivastava. We use generating functions and a few theory of complex variables to obtain some new results for Hypergeometric Polynomials.Particularly, we obtain more identities about classic Laguerre pynomial. Compare with the relationship about Laguerre pynomials made by Bavink who use of the differential operator to prove, we find a method more simple then him.
    Appears in Collections:[Graduate Institute & Department of Mathematics] Thesis

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