施瓦兹函数的幂级数分析与计算

Calculation and Analysis of Schwarz Function by Power Series

本文给出了单位圆内、外域的施瓦兹函数的幂级数形式、系数递推公式、未定参数间的关系式其及应用。对正多边形变换给出了较完整的系数计算公式。这些公式可以使计算结果逼近到任意精度,较之其他近似公式具有明显的优点。

Formulas used directly in calculating Schwarz functions by power series and of the retio linking accessory parameters of the functions are developed, with their applications being discussed. Finally, compact formulas concerning the transformation of regular polygons are given.