Some further q-series identities related to divisor functions

被引：13

作者：

Guo, Victor J. W. ^{[1
]}

Zhang, Cai ^{[1
]}

机构：

[1] E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China

来源：

RAMANUJAN JOURNAL | 2011年 / 25卷 / 03期

基金：

美国国家科学基金会;

关键词：

Prodinger's identity; Dilcher's identity; Lagrange interpolation; l'Hopital's rule;

D O I：

10.1007/s11139-011-9308-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give new generalizations of some q-series identities of Dilcher and Prodinger related to divisor functions. Some interesting special cases are also deduced, including an identity related to overpartitions studied by Corteel and Lovejoy.

引用

页码：295 / 306

页数：12

共 50 条

[1] Some further q-series identities related to divisor functions
Victor J. W. Guo
Cai Zhang
The Ramanujan Journal, 2011, 25 : 295 - 306
[2] SOME Q-SERIES IDENTITIES RELATED TO DIVISOR FUNCTIONS
DILCHER, K
DISCRETE MATHEMATICS, 1995, 145 (1-3) : 83 - 93
[3] On some q-series identities related to a generalized divisor function and their implications
Gupta, Rajat
Kumar, Rahul
DISCRETE MATHEMATICS, 2021, 344 (11)
[4] Divisor functions arising from q-series
Cho, Bumkyu
Kim, Daeyeoul
Koo, Ja Kyung
PUBLICATIONES MATHEMATICAE-DEBRECEN, 2010, 76 (3-4): : 495 - 508
[5] On some q-identities related to divisor functions
Zeng, J
ADVANCES IN APPLIED MATHEMATICS, 2005, 34 (02) : 313 - 315
[6] SOME q-SERIES IDENTITIES RELATED TO THE q-TRIPLICATE INVERSE
Zhang, Zhizheng
Li, Na
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2011, 41 (04) : 1375 - 1393
[7] ON SOME MORE q-SERIES IDENTITIES
Singh, S. N.
Singh, Satya Prakash
ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2015, (35): : 669 - 676
[8] Some interesting q-series identities
Hirschhorn, Michael D.
RAMANUJAN JOURNAL, 2015, 36 (1-2): : 297 - 304
[9] SOME IDENTITIES FOR TERMINATING Q-SERIES
BRESSOUD, DM
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1981, 89 (MAR) : 211 - 223
[10] DIVISOR FUNCTIONS AND WEIERSTRASS FUNCTIONS ARISING FROM q-SERIES
Kim, Daeyeoul
Kim, Min-Soo
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2012, 49 (04) : 693 - 704

← 1 2 3 4 5 →