On Generalized Stieltjes Functions

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OAvers-On generalized Stieltjes functions
Accepted author manuscript, 286 KB, PDF document

Stamatis Koumandos
Pedersen, Henrik Laurberg

It is shown that a function f is a generalized Stieltjes function of order (Formula presented.) if and only if (Formula presented.) is completely monotonic for all (Formula presented.), thereby complementing a result due to Sokal. Furthermore, a characterization of those completely monotonic functions f for which (Formula presented.) is completely monotonic for all (Formula presented.) is obtained in terms of properties of the representing measure of f.

Original language	English
Journal	Constructive Approximation
Volume	50
Issue number	1
Pages (from-to)	129-144
ISSN	0176-4276
DOIs	https://doi.org/10.1007/s00365-018-9440-8
Publication status	Published - 2019

Research areas

Completely monotonic function, Generalized Stieltjes function, Laplace transform

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