26 citations · 28 across the 5 of their papers we have counts for
8 papers
Some two-parameter families of generalized Bernstein functions
Stamatis Koumandos, Henrik L. Pedersen
We prove that certain functions involving ratios of Gamma functions and the Psi-function belong to generalized Bernstein classes and new properties of generalized Bernstein functio…
Approximations of generalized Bernstein functions
Stamatis Koumandos, Henrik Laurberg Pedersen
We establish sharp inequalities involving the incomplete Beta and Gamma functions. These inequalities arise in the approximation of generalized Bernstein functions by higher order…
Higher order Thorin-Bernstein Functions
Henrik Laurberg Pedersen, Stamatis Koumandos
We investigate subclasses of generalized Bernstein functions related to complete Bernstein and Thorin-Bernstein functions. Representations in terms of incomplete beta and gamma as…
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…
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…
On the Laplace transform of absolutely monotonic functions
Stamatis Koumandos, Henrik L. Pedersen
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…
Turán type inequalities for some Lommel functions of the first kind
Árpád Baricz, Stamatis Koumandos
In this paper certain Turán type inequalities for some Lommel functions of the first kind are deduced. The key tools in our proofs are the infinite product representation for these…
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…