3 papers
math.CA2019
Nielsen's beta function and some infinitely divisible distributions
Christian Berg, Stamatis Koumandos, Henrik L. Pedersen
We show that a large collection of special functions, in particular Nielsen's beta function, are generalized Stieltjes functions of order 2, and therefore logarithmically completel…
math.CA2017
On generalized Stieltjes functions
Stamatis Koumandos, Henrik L. Pedersen
It is shown that a function is a generalized Stieltjes function of order if and only if is completely monotonic for all , thereby…
math.CA2008
Completely monotonic functions of positive order and asymptotic expansions of the logarithm of Barnes double gamma function and Euler's gamma function
Stamatis Koumandos, Henrik L. Pedersen
We introduce completely monotonic functions of order and show that the remainders in asymptotic expansions of the logarithm of Barnes double gamma function and Euler's gamma…