A function involving gamma function and having logarithmically absolute convexity

作者：Qi Feng^*; Guo Bai Ni; Guo Senlin; Chen Shou Xin

来源：Integral Transforms and Special Functions, 2007, 18(11): 837-843.

DOI：10.1080/10652460701528875

• logarithmically absolutely convex function
• Logarithmically completely monotonic function
• Logarithmically absolutely monotonic function
• Gamma function
• Generalization

In this paper, the logarithmically complete monotonicity, logarithmically absolute monotonicity and logarithmically absolute convexity of the function [Gamma(1 + tx)](s)/[ Gamma(1 + sx)](t) for x, s, t epsilon R such that 1 + sx > 0 and 1 + tx > 0 with s not equal t are verified, some known results are generalized.

• 出版日期2007
• 单位河南大学; 河南理工大学