5 citations · 7 across the 8 of their papers we have counts for
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Ratios of Entire functions and generalized Stieltjes functions
Dimitris Askitis, Henrik L. Pedersen
Monotonicity properties of the ratio where is an entire function are investigated. Earlier results for Euler…
A family of Horn-Bernstein functions
Christian Berg, Henrik L. Pedersen
A family of recently investigated Bernstein functions is revisited and those functions for which the derivatives are logarithmically completely monotonic are identified. This leads…
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…
A completely monotonic function used in an inequality of Alzer
Christian Berg, Henrik L. Pedersen
The function has been considered by Alzer, Qi and Guo. We prove that is completely monotonic by finding an integral representation of the holo…
A Pick function related to the sequence of volumes of the unit ball in n-space
Christian Berg, Henrik L. Pedersen
We show that F_a(x)=\frac{\ln Γ(x+1)}{x\ln(ax)} is a Pick function for a\ge 1 and find its integral representation. We also consider the function f(x)=(\frac{π^{x/2}}{Γ(1+x/2)})^{1…
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…