A generalization of an integral of Ramanujan

被引：1

作者：

Meyer, Jeffrey L. ^{[1
]}

机构：

[1] Syracuse Univ, Syracuse, NY 13244 USA

来源：

RAMANUJAN JOURNAL | 2007年 / 14卷 / 01期

关键词：

dilogarithm;

D O I：

10.1007/s11139-006-9004-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper considers a generalization of an integral introduced by S. Ramanujan in his third notebook. Ramanujan's integral is itself a version of the dilogarithm, Li-2(z) = - integral(z)(0) log(1 - x)/x dx. We prove various functional equations and properties of the generalized integral.

引用

页码：79 / 88

页数：10