Absolutely monotonic functions related to Euler’s gamma function and Barnes’ double and triple gamma function
Absolutely monotonic functions related to Euler’s gamma function and Barnes’ double and triple gamma function
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DOI：
10.1007/s00605-010-0197-9
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发表时间：
2011-05
期刊：
影响因子：
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通讯作者：
S. Koumandos;Henrik L. Pedersen
中科院分区：
文献类型：
--
作者：
S. Koumandos;Henrik L. Pedersen
证明了巴恩斯双、三伽玛函数和欧拉伽玛函数的对数的渐近展开式中的变换是绝对单调函数的正倍数的拉普拉斯变换.给出了涉及Bernoulli数的和的正性的应用。
It is shown that the remainders in asymptotic expansions of the logarithm of Barnes double and triple gamma function and Euler’s gamma function are Laplace transformations of positive multiples of absolutely monotonic functions. Applications concerning positivity of sums involving Bernoulli numbers are given.