arXiv Analytics

Sign in

arXiv:math/0411550 [math.CA]AbstractReferencesReviewsResources

Integral representation of some functions related to the Gamma function

Christian Berg

Published 2004-11-24Version 1

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

Categories: math.CA, math.CV
Subjects: 33B15, 26A48
Related articles: Most relevant | Search more
arXiv:1001.1495 [math.CA] (Published 2010-01-10, updated 2011-01-25)
A refinement of a double inequality for the gamma function
arXiv:1104.4442 [math.CA] (Published 2011-04-22)
Complete monotonicity of a function involving the gamma function and applications
arXiv:1001.1496 [math.CA] (Published 2010-01-10)
Two monotonic functions involving gamma function and volume of unit ball