Generalizations of Guillera-Sondow's double integral formulas
Number Theory
2007-05-23 v3 Classical Analysis and ODEs
Abstract
We evaluate certain multidimensional integrals in terms of the Lerch transcendent function , generalizing Guillera-Sondow's formulas. As an application, we get new representations of classical constants like Euler's constant and .
Keywords
Cite
@article{arxiv.math/0606287,
title = {Generalizations of Guillera-Sondow's double integral formulas},
author = {Sergey Zlobin},
journal= {arXiv preprint arXiv:math/0606287},
year = {2007}
}
Comments
v2: typos corrected; v3: minor corrections/changes to wording