SOME GAMMA FUNCTION INEQUALITIES
SOME GAMMA FUNCTION INEQUALITIES
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DOI：
10.2307/2153171
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发表时间：
1993-01-01
影响因子：
2
通讯作者：
ALZER, H
中科院分区：
文献类型：
--
作者：
ALZER, H
提出了一类完全单调的函数，涉及 gamma 函数以及 psi 函数的导数。因此，获得了 GAMMA(x + 1)/GAMMA(x + s) 比率的新上限和下限，并将其与 J. D. Keckic 和 P. M. Vasic 部分给出的相关界限进行比较。我们的结果进一步应用于获得无限可分概率度量的拉普拉斯变换函数。
A class of completely monotonic functions are presented involving the gamma function as well as the derivative of the psi function. As a consequence, new upper and lower bounds for the ratio GAMMA(x + 1)/GAMMA(x + s) are obtained and compared with related bounds given in part by J. D. Keckic and P. M. Vasic. Our results are further applied to obtain functions which are Laplace transforms of infinitely divisible probability measures.