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Open AccessMathematics

Integral Representation of Some Functions Related to the Gamma Function

C. Berg

2004.11.24Mediterranean Journal of Mathematics

DOI: 10.1007/s00009-004-0022-6

Abstract

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

Citation format

BERG, C. Integral representation of some functions related to the gamma function [preprint]. arXiv, 2004. arXiv:math/0411550.