SOME INFINITE SERIES IDENTITIES

被引：0

作者：

Lim, Sung-Geun ^{[1
]}

机构：

[1] Mokwon Univ, Dept Math, Mokwon Gil 21, Daejeon 302318, South Korea

来源：

KOREAN JOURNAL OF MATHEMATICS | 2012年 / 20卷 / 04期

关键词：

Infinite series; Modular transformation; Eisenstein series;

D O I：

10.11568/kjm.2012.20.4.451

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

B.C. Berndt has established many relations between various in finite series using a transformation formula for a large class of functions, which comes from a more general class of Eisenstein series. In this paper, continuing his study, we find some in finite series identities.

引用

页码：451 / 461

页数：11

共 50 条

[1] SOME INFINITE SERIES IDENTITIES
FORD, KB
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1993, 119 (03) : 1019 - 1020
[2] SOME INFINITE SUMS IDENTITIES
Jaban, Meher
Bala, Sinha Sneh
[J]. CZECHOSLOVAK MATHEMATICAL JOURNAL, 2015, 65 (03) : 819 - 827
[3] SOME INFINITE PRODUCT IDENTITIES
BLECKSMITH, R
BRILLHART, J
GERST, I
[J]. MATHEMATICS OF COMPUTATION, 1988, 51 (183) : 301 - 314
[4] On some infinite product identities
Cooper, S
Hirschhorn, M
[J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2001, 31 (01) : 131 - 139
[5] Some infinite sums identities
Meher Jaban
Sinha Sneh Bala
[J]. Czechoslovak Mathematical Journal, 2015, 65 : 819 - 827
[6] Infinite Series Identities on Harmonic Numbers
Chu, Wenchang
[J]. RESULTS IN MATHEMATICS, 2012, 61 (3-4) : 209 - 221
[7] Infinite Series Identities on Harmonic Numbers
Wenchang Chu
[J]. Results in Mathematics, 2012, 61 : 209 - 221
[8] ON SOME SERIES IDENTITIES
Lim, Sung-Geun
[J]. HONAM MATHEMATICAL JOURNAL, 2016, 38 (03): : 479 - 494
[9] SOME INFINITE SERIES
SANDHAM, HF
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1954, 5 (03) : 430 - 436
[10] SOME CONVOLUTION SERIES IDENTITIES
RAINA, RK
SRIVASTAVA, HM
[J]. MATHEMATICAL AND COMPUTER MODELLING, 1995, 21 (04) : 29 - 33

← 1 2 3 4 5 →