Evaluation of one exotic Furdui type series

TL;DR

This paper provides a closed-form evaluation of a unique alternating series that combines mathematical constants Pi, log 2, and Zeta(3), offering insights into its exact value.

Contribution

It presents a novel closed-form expression for a specific exotic series involving well-known mathematical constants.

Findings

Derived a closed-form expression involving Pi, log 2, and Zeta(3)

Enhanced understanding of the series' mathematical structure

Potential applications in mathematical analysis and constants evaluation

Abstract

This is a closed form evaluation of one interesting alternating series whose value is a combination of three mathematical constants, Pi, log 2, and Zeta (3).