A function involving gamma function and having logarithmically absolute convexity
Open Access
- 22 October 2007
- journal article
- research article
- Published by Informa UK Limited in Integral Transforms and Special Functions
- Vol. 18 (11), 837-843
- https://doi.org/10.1080/10652460701528875
Abstract
In this paper, the logarithmically complete monotonicity, logarithmically absolute monotonicity and logarithmically absolute convexity of the function [Γ(1+tx)] s /[Γ(1+sx)] t for x, s, t∈ℝ such that 1+sx>0 and 1+tx>0 with s≠t are verified, some known results are generalized.Keywords
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