Some applications of de Bruijn's inequality for power series

被引：6

作者：

Cerone, P. ^{[1
]}

Dragomir, S. S. ^{[1
]}

机构：

[1] Victoria Univ, Sch Comp Sci & Math, Melbourne, Vic 8001, Australia

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2007年 / 18卷 / 06期

关键词：

de Bruijn inequality; power series; complex functions; Gauss hypergeometric functions; polylogarithm;

D O I：

10.1080/10652460701281509

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Some inequalities for power series with real coefficients via the de Bruijn inequality are established. Applications for fundamental complex functions such as the exp, cos, sin, cosh, sinh and 1n are also given.

引用

页码：387 / 396

页数：10