泰勒展开公式的新认识②——特殊函数的倍乘公式与加法公式

New comprehension of the Taylor series expansion②——Addition formulas and multiplications formulas of special functions

作为对泰勒展开公式的新认识,本文由泰勒展开公式出发,系统地导出了常用特殊函数的倍乘公式与加法公式.得到了大约50个公式,绝大多数在现有的几本主要工具书中都未能检得.

As a new comprehension of the Taylor series expansion, the addition formulas and multiplication formulas are deduced from the Taylor series expansion. About 50 formulas are obtained for the common special functions. Most of them can not be found in the main literatures.