Asymptotic expansion of two Sheffer polynomials, namely, Charlier and Laguerre, was obtained by L,C, Hsu6]using a combinatorial method, In this paper, L,C, Hsu's method in [6]has been put into a formal theor...Asymptotic expansion of two Sheffer polynomials, namely, Charlier and Laguerre, was obtained by L,C, Hsu6]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,展开更多
基金Supported by the Department of Science and Technology of the Philippines through its ESEP program,
文摘Asymptotic expansion of two Sheffer polynomials, namely, Charlier and Laguerre, was obtained by L,C, Hsu6]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,