摘要
本文叙述了一种适用于任意阶数的复宗量修正贝塞尔函数的递推算法．给出了复平面范围内的零阶及一阶修正贝塞尔函数的淅近展开式．推导了关于贝塞尔函数的一些导数关系的简明表达式．利用ＦＯＲＴＲＡＮ５．０编制了算法程序．并在实际工程计算中得到应用．
A rigorous recurrence algorithm for the computation of integer order modified Bessel functiocs with complex arguments is discussed. The asymptotic expansions of modified bessel functions for 0 and 1 order is given in the whole complex plane.Finally,the forthright expessions concerning some derivative relations of Bessel functions and modified Bessel functions are presented.
关键词
复宗量
修正贝塞尔函数
电磁波
数值计算
omplex argument
modified Bessel function
recurrence relation
asympiotic expansion
mode equation
