A note on generating functions for Hausdorff moment sequences
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- by Oliver Roth, Stephan Ruscheweyh and Luis Salinas PDF
- Proc. Amer. Math. Soc. 136 (2008), 3171-3176 Request permission
Abstract:
For functions $f$ whose Taylor coefficients at the origin form a Hausdorff moment sequence we study the behaviour of $w(y):=|f(\gamma +iy)|$ for $y>0$ ($\gamma \leq 1$ fixed).References
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Additional Information
- Oliver Roth
- Affiliation: Mathematisches Institut, Universität Würzburg, D-97074 Würzburg, Germany
- MR Author ID: 644146
- Email: roth@mathematik.uni-wuerzburg.de
- Stephan Ruscheweyh
- Affiliation: Mathematisches Institut, Universität Würzburg, D-97074 Würzburg, Germany
- Email: ruscheweyh@mathematik.uni-wuerzburg.de
- Luis Salinas
- Affiliation: Departamento de Informática, Universidad Técnica F. Santa María, Valparaíso, Chile
- Email: lsalinas@inf.utfsm.cl
- Received by editor(s): July 5, 2007
- Published electronically: April 30, 2008
- Additional Notes: The first and second authors acknowledge partial support from the German-Israeli Foundation (grant G-809-234.6/2003). The second and third authors received partial support from FONDECYT (grants 1070269 and 7070131) and DGIP-UTFSM (grant 240721).
- Communicated by: Andreas Seeger
- © Copyright 2008
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 136 (2008), 3171-3176
- MSC (2000): Primary 30E05, 26A48
- DOI: https://doi.org/10.1090/S0002-9939-08-09460-4
- MathSciNet review: 2407081