TWO CLASSES OF LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTIONS ASSOCIATED WITH THE GAMMA FUNCTION

机译：与伽玛函数相关的两类对数完全单调函数

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The logarithmically complete monotonicity of the functions x →e~χΓ(χ+b)/(χ+b)~(χ+a) in (-b,∞) for a ∈ R and b ≥ 0, and x →Γ(χ+B)/χ~aΓ(χ) in (0,∞) for a ∈ R,0 < β < 1 are considered.

机译：对于a∈R和b≥0且x→Γ（x，（b，∞））中的函数x→e〜χΓ（χ+ b）/（χ+ b）〜（χ+ a）的对数完全单调性考虑对于∈R，0 <β<1的（0，∞）中的χ+ B）/χ〜aΓ（χ）。

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来源
《Computational intelligence : Foundations and applications》|2010年|p.168-173|共6页
会议地点 Chengdu(CN)
作者
CHAOPING CHEN; GANG WANG; HUA ZHU;
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作者单位

School of Mathematics and Informatics, Henan Polytechnic University Jiaozuo City 454003, Henan Province, People's Republic of China;

Department of Basic Science, Jiaozuo University Jiaozuo City 454003, Henan Province, People's Republic of China;

Department of Mathematics, Zhengzhou University Zhengzhou City 450001, Henan Province, People's Republic of China;

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会议组织
原文格式 PDF
正文语种 eng
中图分类人工智能理论;
关键词
gamma function; psi function; polygamma functions; logarithmi-cally completely monotonic functions; inequality;

机译：伽玛函数psi功能多伽马函数;对数完全单调函数；不等式;

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TWO CLASSES OF LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTIONS ASSOCIATED WITH THE GAMMA FUNCTION

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