Generalizations of Guillera-Sondow's double integral formulas
Abstract
Description
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 $\ln(4/π)$.
v2: typos corrected; v3: minor corrections/changes to wording
v2: typos corrected; v3: minor corrections/changes to wording