Two Classes of Infinite Series through Contour Integration

Key Points

Key points are not available for this paper at this time.

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.

Mark Helpful

Bookmark

Relay

Cite This Study

Jing et al. (Tue,) studied this question.

synapsesocial.com/papers/68e6cdfeb6db64358764c6e0 https://doi.org/https://doi.org/10.36045/j.bbms.231115

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1Applications and Techniques of Contour Integration in Evaluating Complex and Real Integrals2025
2Miscellaneous summation, integration, and transformation formulas2024
3On the generalized Dirichlet beta and Riemann zeta functions and Ramanujan-type formulae for beta and zeta values2024
4Accelerating the Hypergeometric Function with the Beta Integral to Derive New Infinite Series for $π$ and Values of the Gamma Function2024
5Some Finite Summation Identities Comprising Binomial Coefficients for Integrals of the Bernstein Polynomials and Their Applications2024

Mark Helpful

Bookmark

Relay