Generalizations of Guillera-Sondow's double integral formulas

Details Generalizations of Guillera-Sondow's double integral formulas Generalizations of Guillera-Sondow's double integral formulas

2006-06-13

arxiv.org/abs/math/0606287v3

Mathematics

Number Theory

v2: typos corrected; v3: minor corrections/changes to wording

Scientific paper

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

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