14 citations · 45 across the 7 of their papers we have counts for
4 papers · 1 filter
On the evaluation of Matsubara sums
Olivier Espinosa
Given a connected (multi)graph G, consisting of V vertices and I lines, we consider a class of multidimensional sums constructed in the following way: - orient the lines of the gra…
The evaluation of Tornheim double sums. Part 1
Olivier Espinosa, Victor H. Moll
We provide an explicit formula for the Tornheim double series in terms of integrals involving the Hurwitz zeta function. We also study the limit when the parameters of the Tornheim…
On some families of integrals solvable in terms of polygamma and negapolygamma functions
George Boros, Olivier Espinosa, Victor H. Moll
Beginning with Hermite's integral representation of the Hurwitz zeta function, we derive explicit expressions in terms of elementary, polygamma, and negapolygamma functions for sev…
A generalized polygamma function
Olivier Espinosa, Victor H. Moll
We study the properties of a function (the generalized polygamma function), intimately connected with the Hurwitz zeta function and defined for complex values of the vari…