Browsing by Subject "Completely monotonic function of positive order"
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Article
Completely monotonic functions of positive order and asymptotic expansions of the logarithm of Barnes double gamma function and Euler's gamma function
(2009)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 ...
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Article
On Asymptotic Expansions of Generalized Stieltjes Functions
(2015)We characterize the generalized Stieltjes functions corresponding to measures on the positive real axis having moments of all orders in terms of monotonicity properties of the remainders in asymptotic expansions of these ...