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Taylor and Francis Group, Integral Transforms and Special Functions, 11(18), p. 837-843

DOI: 10.1080/10652460701528875

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A function involving gamma function and having logarithmically absolute convexity

Journal article published in 2007 by Feng Qi ORCID, Bai-Ni Guo ORCID, Senlin Guo, Shou-Xin Chen
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This paper is available in a repository.

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Abstract

In the paper, the logarithmically complete monotonicity, logarith-mically 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.