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Generalizations of Guillera-Sondow's double integral formulas

Sergey Zlobin
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Abstract

We evaluate certain multidimensional integrals in terms of the Lerch transcendent function $Φ$, generalizing Guillera-Sondow's formulas. As an application, we get new representations of classical constants like Euler's constant $γ$ and $\ln(4/π)$.

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Sergey Zlobin. 2006-08-19. Generalizations of Guillera-Sondow's double integral formulas. https://arxiv.org/abs/math/0606287

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