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

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.

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• Location: Deutsche Nationalbibliothek Frankfurt am Main
• Extent: Online-Ressource
• Language: Englisch

References and Relationships

• Bibliographic citation: Trigonometric integrals evaluated in terms of Riemann zeta and Dirichlet beta functions ; volume:22 ; number:1 ; year:2024 ; extent:15 ; Open mathematics ; 22, Heft 1 (2024) (gesamt 15)

Contributors, Places and Time

• Creator: Li, Jing ; Chu, Wenchang

Further information

• DOI: 10.1515/math-2024-0052
• URN: urn:nbn:de:101:1-2409141535075.805593807228
• Rights: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.