Sheffer多项式的渐近展开(英文)

Asymptotic Expansion of Some Sheffer Polynomials

英文关键词:asymptotic expansion  Sheffer polynomials

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，