Gamma函数的对数完全单调性(英文)
Logarithmically Complete Monotonicity of Gamma Functions
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摘要: 研究了函数Γ(αx+1)ααxΓα(x+1)满足x∈(0,+∞)和α0情况下的对数完全单调性.利用所得结果可以导出几个关于Gamma函数的不等式.Abstract: The logarithmically complete monotonicity of the function Γ(αx+1)α~(αx)Γ~α(x+1) with x∈(0,+∞) for α0 was studied.Several inequalities are attained by using these results.
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