Completely monotonic functions of positive order and asymptotic expansions of the logarithm of Barnes double gamma function and Euler's gamma function

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We introduce completely monotonic functions of order $r>0$ and show that the remainders in asymptotic expansions of the logarithm of Barnes double gamma function and Euler's gamma function give rise to completely monotonic functions of any positive integer order.
13 pages, to appear in Journal of Mathematical Analysis and Applications

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Classical Analysis and ODEs, Functional Analysis, 33B15; 41A60

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http://salesiana.dossiersoluciones.com/handle/123456789/220184

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0811.2870
 http://arxiv.org/abs/0811.2870

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arXiv