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Moments of log-tanh integrals
Integral Transforms and Special Functions ( IF 1 ) Pub Date : 2021-06-21 , DOI: 10.1080/10652469.2021.1941923
Anthony Sofo 1 , Necdet Batir 2
Affiliation  

An investigation into families of integrals containing powers of the arctanh and 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. In another special case we prove that the corresponding log-tanh integral can be represented as a linear combination of the product of zeta functions and the Dirichlet eta function.



中文翻译:

log-tanh 积分的矩

本文将对包含 arctanh 和 log 函数的积分族进行调查。将证明欧拉和在这些积分的求解中起着重要作用。在另一个特殊情况下,我们证明相应的 log-tanh 积分可以表示为 zeta 函数和 Dirichlet eta 函数的乘积的线性组合。

更新日期:2021-06-21
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