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    Title: 一些由廣義超幾何函數生成的測度
    Other Titles: A Certain Family of Measures Generated by Generalized Hypogeometric Functions
    Authors: 陳功宇
    Contributors: 淡江大學數學學系
    Date: 2007
    Issue Date: 2009-03-16 12:54:48 (UTC+8)
    Abstract: 設{S (x)} n 是.d 上的多項式序列其生成函數有下列型式 此處 y = y(θ ) 與z = z(θ ) 是在.d 中0 的某個鄰域上的解析函數且 y(0) = 0, y′(0) ≠ 0 , z(0) ≠ 0 , 是廣義的超幾何函數. 假設μ 不是集中在.d 的affine hyperplane 上的Radon 測度且φ (< x,θ >) 是在0 的某 鄰域上對μ 可積分(若p = q +1,則我們再假設μ 有compact support).此類的μ 所成的集 合以M = M (.d ) 表示之. 在本計劃中,我們考慮積分 問題: 何時μ 會使得(θ ) μ V 是不超過m 次(m=2,3)的多項式,並尋找μ ,z,y,及多項式 序列{S (x)} n 的一些性質(如:正交性及所滿足的微分方程式).
    Appears in Collections:[數學學系暨研究所] 研究報告

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