Evaluating log-tangent integrals via Euler sums
DOI: https://doi.org/10.3846/mma.2022.13100Abstract
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.
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Dirichlet beta functions, log-tangent integral, Euler sums, Dirichlet lambda function, zeta functionsHow to Cite
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Copyright (c) 2022 The Author(s). Published by Vilnius Gediminas Technical University.
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This work is licensed under a Creative Commons Attribution 4.0 International License.