Hyperasymptotic solutions of second-order linear differential equations II
暂无分享,去创建一个
In the preceding paper, hyperasymptotic expansions were obtained for the solutions of homogeneous linear differential equations of the second order in the neighborhood of an irregular singularity of rank one. In the present paper, we derive alternative forms of these expansions that are sometimes advantageous.
[1] A. B. Olde Daalhuis,et al. Exponentially improved asymptotic solutions of ordinary differential equations. II. Irregular singularities of rank one , 1994, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.
[2] F. Olver. Asymptotics and Special Functions , 1974 .
[3] R. Dingle. Asymptotic expansions : their derivation and interpretation , 1975 .
[4] A. B. Olde Daalhuis. Hyperasymptotic expansions of confluent hypergeometric functions , 1991 .