On support points of univalent functions and a disproof of a conjecture of Bombieri
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- by Richard Greiner and Oliver Roth PDF
- Proc. Amer. Math. Soc. 129 (2001), 3657-3664 Request permission
Abstract:
We consider the linear functional $\operatorname {Re} (a_3+ \lambda a_2)$ for $\lambda \in i \mathbb {R}$ on the set of normalized univalent functions in the unit disk and use the result to disprove a conjecture of Bombieri.References
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Additional Information
- Richard Greiner
- Affiliation: Department of Mathematics, Bayerische Julius-Maximilians-Universität, Am Hubland, D-97074 Würzburg, Germany
- Email: greiner@mathematik.uni-wuerzburg.de
- Oliver Roth
- Affiliation: Department of Mathematics, Bayerische Julius-Maximilians-Universität, Am Hubland, D-97074 Würzburg, Germany
- Address at time of publication: Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109
- MR Author ID: 644146
- Email: roth@mathematik.uni-wuerzburg.de
- Received by editor(s): December 28, 1999
- Received by editor(s) in revised form: May 1, 2000
- Published electronically: May 3, 2001
- Additional Notes: This paper was completed while the second author was visiting the University of Michigan supported by a Feodor Lynen fellowship of the Alexander von Humboldt foundation. He thanks the faculty and staff for their hospitality.
- Communicated by: Albert Baernstein II
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 3657-3664
- MSC (1991): Primary 30C70, 30C50; Secondary 30C35
- DOI: https://doi.org/10.1090/S0002-9939-01-05994-9
- MathSciNet review: 1860500