New integrals involving a function associated with Euler-Maclaurin summation formula

被引：0

作者：

Frontczak, Robert ^{[1
]}

Kumari, Munesh ^{[2
]}

Prasad, Kalika ^{[2
]}

机构：

[1] Landesbank Baden Wurttemberg LBBW, Stuttgart, Germany

[2] Cent Univ Jharkhand, Dept Math, Ranchi, India

来源：

CONTRIBUTIONS TO MATHEMATICS | 2023年 / 7卷

关键词：

Bernoulli polynomial; Euler-Maclaurin summation formula; integrals; Riemann zeta function;

D O I：

10.47443/cm.2022.060

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The authors establish novel integrals involving a certain periodic function which is associated with the Euler-Maclaurin summation formula.

引用

页码：11 / 14

页数：4

共 50 条

[21] Euler-Maclaurin Summation and Schlomilch Series
Thompson, I.
Linton, C. M.
QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 2010, 63 (01): : 39 - 56
[22] VARIANT OF EULER-MACLAURIN FORMULA
SAGON, H
IEEE TRANSACTIONS ON AEROSPACE AND ELECTRONIC SYSTEMS, 1971, AES7 (06) : 1220 - &
[23] THE STANDARD SUMMATION OPERATOR, THE EULER-MACLAURIN SUM FORMULA, AND THE LAPLACE TRANSFORMATION
MILLER, JB
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1985, 39 (DEC): : 367 - 390
[24] A generalized Euler-Maclaurin formula on triangles
Sayas, FJ
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1998, 93 (02) : 89 - 93
[25] Some aspects of Euler's theory of series: Inexplicable functions and the Euler-Maclaurin summation formula
Ferraro, G
HISTORIA MATHEMATICA, 1998, 25 (03) : 290 - 317
[26] A Multidimensional Euler-Maclaurin Formula and an Application
Liflyand, E.
Stadmueller, U.
COMPLEX ANALYSIS AND DYNAMICAL SYSTEMS V, 2013, 591 : 183 - 194
[27] Another look at the Euler-Maclaurin formula
Berrut, JP
ICNAAM 2004: INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2004, 2004, : 42 - 45
[28] On a Tauberian theorem of Ingham and Euler-Maclaurin summation
Bringmann, Kathrin
Jennings-Shaffer, Chris
Mahlburg, Karl
RAMANUJAN JOURNAL, 2023, 61 (01): : 55 - 86
[29] Entire majorants via Euler-Maclaurin summation
Littmann, F
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2006, 358 (07) : 2821 - 2836
[30] Evolution of the Euler-Maclaurin sum formula
Nimbran, Amrik Singh
MATHEMATICAL GAZETTE, 2022, 106 (567): : 443 - 457

← 1 2 3 4 5 →