Smale’s mean value conjecture and the coefficients of univalent functions
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- by Anthony Conte, Ege Fujikawa and Nikola Lakic PDF
- Proc. Amer. Math. Soc. 135 (2007), 3295-3300 Request permission
Abstract:
We study Smale’s mean value conjecture and its connection with the second coefficients of univalent functions. We improve the bound on Smale’s constant given by Beardon, Minda and Ng.References
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Additional Information
- Anthony Conte
- Affiliation: Department of Mathematics, Graduate Center, CUNY, New York, New York 10016
- Email: ajconte520@hotmail.com
- Ege Fujikawa
- Affiliation: Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Oh-okayama, Meguro-ku, Tokyo, 152-8552 Japan
- Address at time of publication: Department of Mathematics, Sophia University, 7-1 Kioi-cho, Chiyoda-ku, Tokyo, 102-8554 Japan
- MR Author ID: 706593
- Email: fujikawa@mm.sophia.ac.jp
- Nikola Lakic
- Affiliation: Department of Mathematics and Computer Science, Herbert H. Lehman College, CUNY, Bronx, New York 10468
- Email: nikola.lakic@lehman.cuny.edu
- Received by editor(s): June 2, 2005
- Received by editor(s) in revised form: July 18, 2006
- Published electronically: June 20, 2007
- Additional Notes: The third author was partially supported by the grant DMS 0200733 from the National Science Foundation
- Communicated by: Juha M. Heinonen
- © Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 135 (2007), 3295-3300
- MSC (2000): Primary 30C10; Secondary 30C50
- DOI: https://doi.org/10.1090/S0002-9939-07-08861-2
- MathSciNet review: 2322761