Power expansions of powers of trigonometric functions andseries containing Bernoulli and Euler polynomials

被引：16

作者：

Brychkov, Yu. A. ^{[1
]}

机构：

[1] Russian Acad Sci, Dorodnicyn Comp Ctr, Moscow 119639, Russia

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2009年 / 20卷 / 11期

关键词：

trigonometric functions; differentiation; power series; Bernoulli polynomials; Bernoulli numbers; Euler polynomials; Euler numbers; hypergeometric functions; special functions; summation;

D O I：

10.1080/10652460902867718

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Differentiation formulas and power expansions are derived for sinn z, cosn z, tann z and cotn z. Summation formulas containing Bernoulli and Euler polynomials and numbers are obtained.

引用

页码：797 / 804

页数：8