%0 Journal Article
%T A generalized polygamma function
%A Olivier Espinosa
%A Victor H. Moll
%J Mathematics
%D 2003
%I arXiv
%X We study the properties of a function $\psi(z, q)$ (the generalized polygamma function), intimately connected with the Hurwitz zeta function and defined for complex values of the variables $z$ and $q$, which is entire in the variable $z$ and reduces to the usual polygamma function $\psi^{(m)}(q)$ for $z$ a non-negative integer $m$, and to the balanced negapolygamma function $\psi^{(-m)}(q)$ for $z$ a negative integer $-m$.
%U http://arxiv.org/abs/math/0305079v1