On Generalized Stieltjes Functions

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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
Vol/bind50
Udgave nummer1
Sider (fra-til)129-144
ISSN0176-4276
DOI
StatusUdgivet - 2019

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