Two Classes of Infinite Series through Contour Integration

Jing Li; Wenchang Chu

doi:10.36045/j.bbms.231115

Abstract

By means of the contour integration method, two variants of the Dirichlet beta function are investigated. Two general summation formulae are established. Several interesting particular infinite series evaluations are given as consequences.

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Jing Li. Wenchang Chu. "Two Classes of Infinite Series through Contour Integration." Bull. Belg. Math. Soc. Simon Stevin 31 (1) 115 - 122, april 2024. https://doi.org/10.36045/j.bbms.231115

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Published: april 2024

First available in Project Euclid: 13 May 2024

Digital Object Identifier: 10.36045/j.bbms.231115

Subjects:

Primary: 30E20

Secondary: 11M32

Keywords: contour integration , infinite series , The Cauchy residue theorem

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