Integral representation of some functions related to the Gamma function

Details Integral representation of some functions related to the Gamma function Integral representation of some functions related to the Gamma function

2004-11-24

arxiv.org/abs/math/0411550v1

Mathematics

Classical Analysis and ODEs

Scientific paper

We prove that the functions Phi(x)=[Gamma(x+1)]^{1/x}(1+1/x)^x/x and log
Phi(x) are Stieltjes transforms.

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