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.
Originalsprog | Engelsk |
---|---|
Tidsskrift | Constructive Approximation |
Vol/bind | 50 |
Udgave nummer | 1 |
Sider (fra-til) | 129-144 |
ISSN | 0176-4276 |
DOI | |
Status | Udgivet - 2019 |
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