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Smale's mean value conjecture and the coefficients of univalent functions
Author(s):
Anthony
Conte;
Ege
Fujikawa;
Nikola
Lakic
Journal:
Proc. Amer. Math. Soc.
135
(2007),
3295-3300.
MSC (2000):
Primary 30C10;
Secondary 30C50
Posted:
June 20, 2007
MathSciNet review:
2322761
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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:
-
- 1.
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- 3.
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 case of Smale's mean value conjecture, preprint. - 4.
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- 7.
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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
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
DOI:
10.1090/S0002-9939-07-08861-2
PII:
S 0002-9939(07)08861-2
Keywords:
Polynomial,
critical point,
univalent function
Received by editor(s):
June 2, 2005
Received by editor(s) in revised form:
July 18, 2006
Posted:
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 of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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