On Generalized Stieltjes Functions

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningfagfællebedømt

Stamatis Koumandos, Henrik L. Pedersen

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.

OriginalsprogEngelsk
TidsskriftConstructive Approximation
Sider (fra-til)1-16
ISSN0176-4276
DOI
StatusE-pub ahead of print - 2019

ID: 203596168