C.B. Corcino.Sheffer多项式的渐近展开(英文)[J].数学研究及应用,2001,21(4):513~524
Sheffer多项式的渐近展开(英文)
Asymptotic Expansion of Some Sheffer Polynomials
投稿时间:1999-03-10  
DOI:10.3770/j.issn:1000-341X.2001.04.007
中文关键词:  
英文关键词:asymptotic expansion  Sheffer polynomials
基金项目:
作者单位
C.B. Corcino Mindanan州立大学数学系菲律宾马拉卫城 9700 
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中文摘要:
      本文利用组合分析中的循环指示表示方法,找到了Sheffer型多项式的渐近展开公式及余项估计,文末讨论了所得渐近公式的运用范围,
英文摘要:
      Asymptotic expansion of two Sheffer polynomials, namely, Charlier and Laguerre, was obtained by L,C, Hsu using a combinatorial method, In this paper, L,C, Hsu's method in [6]has been put into a formal theorem that the author successfully applied to four other Sheffer polynomials: Poisson-Charlier, weighted Touchard, Toscano, and Angelescu polynomials, Within sonic specified domains remainder estimates have been obtained, Moreover, sonic spplicability and llimitation have been mentioned,
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