Completely monotonic functions of positive order and asymptotic expansions of the logarithm of Barnes double gamma function and Euler's gamma function
The authors establish that the remainders in asymptotic expansions of the logarithms of Barnes double gamma function and Euler's gamma function are (up to a sign) completely monotonic functions of order comparable with the decay of the remainder in the expansions. The main results are given by four theorems.
completely monotonic functions of positive order
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