Inverses of gamma functions (Q2343050)

By answering a question by \textit{M. Uchiyama} [Proc. Am. Math. Soc. 140, No. 4, 1343--1348 (2012; Zbl 1245.33005)], the author shows that the inverse of Euler's gamma function on intervals of increase has an extension to a Pick function. The corresponding integral representations are described, too. By considering a general class of entire functions of genus 2, similar results are applied to the integral representations of the double gamma function, and Barnes' \(G\)-function.