摘要
通过在泰勒展开中代入特殊值的办法,并应用于一些常用的特殊函数,包括超几何函数、球函数、柱函数以及虚宗量柱函数,得到关于这些函数的近20个恒等式.在目前较常用的一些工具书中,都未能检索到这些结果.
A new version of the Taylor series expansion is obtained by ascribing a typical value of complex variable in the expansion. Applications to the usual special functions, including hypergeometric function, spherical harmonics function, cylindrical function, and modified cylindrical function are made. About 20 identities are gained for these functions, which can not be found in the classical literatures.
出处
《大学物理》
北大核心
2012年第1期1-4,16,共5页
College Physics
关键词
泰勒展开
超几何函数
球函数
柱函数
Taylor series expansion
hypergeometric functions
spherical functions
cylindrical funct
