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

共 50 条

[1] A generalization of an integral of Ramanujan
Jeffrey L. Meyer
The Ramanujan Journal, 2007, 14 : 79 - 88
[2] Generalization of an identity of Ramanujan
Gun, Sanoli
Murty, M. Ram
JOURNAL OF THE RAMANUJAN MATHEMATICAL SOCIETY, 2016, 31 (02) : 125 - 135
[3] Generalization of a Ramanujan Identity
Rebak, Ors
AMERICAN MATHEMATICAL MONTHLY, 2020, 127 (01): : 80 - 83
[4] A GENERALIZATION OF A FORMULA OF RAMANUJAN
TODOROV, PG
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1990, 147 (01) : 22 - 29
[5] NOTE ON AN INTEGRAL OF RAMANUJAN
BRACHMAN, MK
JOURNAL OF MATHEMATICS AND PHYSICS, 1954, 33 : 374 - 375
[6] Note on an integral of Ramanujan
J.-P. Allouche
The Ramanujan Journal, 2007, 14 : 39 - 42
[7] Note on an integral of Ramanujan
Allouche, J. -P.
RAMANUJAN JOURNAL, 2007, 14 (01): : 39 - 42
[8] A BASIC HYPERGEOMETRIC TRANSFORMATION OF RAMANUJAN AND A GENERALIZATION
BHARGAVA, S
ADIGA, C
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1986, 17 (03): : 338 - 342
[9] A GENERALIZATION OF THE RAMANUJAN-NAGELL EQUATION
Yamada, Tomohiro
GLASGOW MATHEMATICAL JOURNAL, 2019, 61 (03) : 535 - 544
[10] A generalization of the Ramanujan polynomials and plane trees
Guo, Victor J.W.
Zeng, Jiang
Advances in Applied Mathematics, 2007, 39 (01): : 96 - 115

← 1 2 3 4 5 →