Absolutely Convergent Series

Determination of the mapping function for the exterior domain of a non-circular opening by means of the multiplication of three absolutely convergent series

应用三个绝对收敛级数相乘法解非圆形洞室的外域映射函数

Sommerfeld type integral contained in Hertz potential is expressed as the sum of two parts : zeroth order Hankel function and an absolutely convergent series of spherical Hankel function .

赫芝位函数中的索末菲型积分被表达成零阶汉克尔函数与绝对收敛的球汉克尔函数级数之和的形式。

By using the expansion of spherical wave functions for a cylindrical wave function and the techniques of the hypergeometric functions , the Sommerfeld integral contained in the potential is expressed as a rapidly and absolutely convergent series of spherical wave functions ;

利用圆柱波函数的球面波函数展开式和超几何函数理论，位函数中的索末菲尔德积分被表示成快速、绝对收敛的球面波展开式；

Subject to impedance boundary condition , Hertz potentials of electric or magnetic dipole over the earth ′ s surface are expressed as the sum of three parts : a direct field of the dipole , a reflected field of image source and an absolutely convergent series of Bessel functions .

在阻抗边界条件下，地球表面上电或磁偶极子的赫兹位函数被表达成偶极源的直达波、镜像源的反射波与一绝对收敛的贝塞尔函数级数之和的解析形式。