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, |