Completely monotonic functions of positive order and asymptotic expansions of the logarithm of Barnes double gamma function and Euler's gamma function
Date
2009ISSN
0022-247XSource
Journal of Mathematical Analysis and ApplicationsVolume
355Issue
1Pages
33-40Google Scholar check
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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. © 2009 Elsevier Inc. All rights reserved.
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