Trigonometric integrals evaluated in terms of Riemann zeta and Dirichlet beta functions-Reference-Cited by-同舟云学术

登录注册会员服务联系我们

Trigonometric integrals evaluated in terms of Riemann zeta and Dirichlet beta functions

Published:2024-01-01 Issue:1 Volume:22 Page:
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Li Jing¹,Chu Wenchang²

Affiliation:

1. School of Mathematics and Statistics, Zhoukou Normal University , 466001 Zhoukou , China

2. Department of Mathematics and Statistics , Via Dalmazio Birago 9E , 73100 Lecce , Italy

Abstract

Abstract Three classes of trigonometric integrals involving an integer parameter are evaluated by the contour integration and the residue theorem. The resulting formulae are expressed in terms of Riemann zeta function and Dirichlet beta function. Several remarkable integral identities are presented.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/math-2024-0052/pdf

Reference20 articles.

1. G. Boros and V. H. Moll, Irresistible Integrals, Cambridge University Press, Cambridge, 2004

2. C. Li and W. Chu, Improper integrals involving powers of inverse trigonometric and hyperbolic functions, Mathematics 2022 (2022), no. 10, 2980, DOI: https://doi.org/10.3390/math10162980.

3. C. I. Všlean, (Almost) Impossible Integrals, Sums, and Series, Springer Nature AG, Switzerland, 2019.

4. A. Jeffrey and H.-H. Dai, Handbook of Mathematical Formulas and Integrals, 4th edition, Academic Press, London, UK, 2008.

5. K. N. Boyadzhiev, Special Techniques for Solving Integrals: Examples and Problems, World Scientific Publishing Co. Pte. Ltd., Singapore, 2022.

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370

www.globalauthorid.com

TOP