大学物理 ›› 2012, Vol. 31 ›› Issue (2): 1-1.

• 著者文摘 •    下一篇

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

吴崇试   

  1. 北京大学物理学院,北京100871
  • 出版日期:2012-02-25 发布日期:2012-02-20

New comprehension of the Taylor series expansion ②——Addition formulas and multiplications formulas of special functions

  • Online:2012-02-25 Published:2012-02-20

摘要: 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.

关键词: 泰勒展开, 倍乘公式, 加法公式, 超几何函数, 球函数, 柱函数

Abstract: 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.

Key words: spherical function, Taylor series expansion, addition formula, multiplication formula, hypergeometric function, cylindrical functions

中图分类号: 

  • O411.1