Πλοήγηση ανά Συγγραφέα "Pedersen, H. L."
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Article
Absolutely monotonic functions related to Euler's gamma function and Barnes' double and triple gamma function
Koumandos, S.; Pedersen, H. L. (2011)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 ...
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Completely monotonic functions of positive order and asymptotic expansions of the logarithm of Barnes double gamma function and Euler's gamma function
Koumandos, S.; Pedersen, H. L. (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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On Asymptotic Expansions of Generalized Stieltjes Functions
Koumandos, S.; Pedersen, H. L. (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 ...
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On the asymptotic expansion of the logarithm of barnes triple gamma function
Koumandos, S.; Pedersen, H. L. (2009)It is shown that the remainders in an asymptotic expansion of the logarithm of Barnes triple gamma function give rise to completely monotonic functions. Furthermore, error bounds are found.
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Article
On the asymptotic expansion of the logarithm of barnes triple gamma function II
Koumandos, S.; Pedersen, H. L. (2017)The remainders in an asymptotic expansion of the logarithm of Barnes triple gamma function give rise to completely monotonic functions of positive order.
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Article
On the Laplace Transform of Absolutely Monotonic Functions
Koumandos, S.; Pedersen, H. L. (2016)We obtain necessary and sufficient conditions on a function in order that it be the Laplace transform of an absolutely monotonic function. Several closely related results are also given. © 2016 Springer International Publishing
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Turán type inequalities for the partial sums of the generating functions of Bernoulli and Euler numbers
Koumandos, S.; Pedersen, H. L. (2012)Turán type inequalities for the partial sums of the generating functions of the Bernoulli and Euler numbers are established. They are shown to follow from a general result relating Turán inequalities of partial sums with ...