Hyperbolic convexity and the analytic fixed point function
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- by Alexander Yu. Solynin PDF
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Abstract:
We answer a question raised by D. Mejía and Ch. Pommerenke by showing that the analytic fixed point function is hyperbolically convex in the unit disc.References
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Additional Information
- Alexander Yu. Solynin
- Affiliation: Department of Mathematics and Statistics, Texas Tech University, Box 41042, Lubbock, Texas 79409
- MR Author ID: 206458
- Email: alex.solynin@ttu.edu
- Received by editor(s): November 17, 2005
- Published electronically: October 18, 2006
- Additional Notes: This research was supported in part by NSF grant DMS-0412908
- Communicated by: Juha M. Heinonen
- © Copyright 2006
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 135 (2007), 1181-1186
- MSC (2000): Primary 30C55, 30F45
- DOI: https://doi.org/10.1090/S0002-9939-06-08661-8
- MathSciNet review: 2262924