Published 2021-07-22
Keywords
- Definite Integral,
- BBP type relations,
- Euler Sums,
- Dirichlet Beta Functions
Copyright (c) 2024 Scientia Series A: Mathematical Sciences
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
How to Cite
A family of definite integrals. (2021). Scientia Series A: Mathematical Sciences, 31, 61-74. https://revistas.usm.cl/scientia/article/view/32
Abstract
An investigation into a family of definite integrals containing log functions will be undertaken in this paper. It will be shown that Euler sums play an important part in the solution of these integrals and may be represented as a BBP type formula. In a special case we prove that the corresponding log integral can be represented as a linear combination of the product of zeta functions and the Dirichlet beta function.
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