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Evaluating log-tangent integrals via Euler sums

    Anthony Sofo Affiliation

Abstract

An investigation into the representation of integrals involving the product of the logarithm and the arctan functions, reducing to log-tangent integrals, will be undertaken in this paper. We will show that in many cases these integrals take an explicit form involving the Riemann zeta function, the Dirichlet eta function, Dirichlet lambda function and many other special functions. Some examples illustrating the theorems will be detailed.

Keyword : Dirichlet beta functions, log-tangent integral, Euler sums, Dirichlet lambda function, zeta functions

How to Cite
Sofo, A. (2022). Evaluating log-tangent integrals via Euler sums. Mathematical Modelling and Analysis, 27(1), 1–18. https://doi.org/10.3846/mma.2022.13100
Published in Issue
Feb 7, 2022
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This work is licensed under a Creative Commons Attribution 4.0 International License.

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