用黎曼泽塔函数和德里赫特贝塔函数求三角积分

IF 1 4区数学 Q1 MATHEMATICS

Open Mathematics Pub Date : 2024-09-13 DOI:10.1515/math-2024-0052

Jing Li, Wenchang Chu

引用次数: 0

摘要

通过等高线积分和残差定理，对涉及整数参数的三类三角积分进行了评估。所得公式用黎曼zeta函数和狄利克特β函数表示。提出了几个重要的积分等式。

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

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.

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来源期刊

Open Mathematics MATHEMATICS-

CiteScore

2.40

自引率

5.90%

发文量

审稿时长

16 weeks

期刊介绍： Open Mathematics - formerly Central European Journal of Mathematics Open Mathematics is a fully peer-reviewed, open access, electronic journal that publishes significant, original and relevant works in all areas of mathematics. The journal provides the readers with free, instant, and permanent access to all content worldwide; and the authors with extensive promotion of published articles, long-time preservation, language-correction services, no space constraints and immediate publication. Open Mathematics is listed in Thomson Reuters - Current Contents/Physical, Chemical and Earth Sciences. Our standard policy requires each paper to be reviewed by at least two Referees and the peer-review process is single-blind. Aims and Scope The journal aims at presenting high-impact and relevant research on topics across the full span of mathematics. Coverage includes: