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Smale's mean value conjecture and the coefficients of univalent functions
Authors:Anthony Conte  Ege Fujikawa  Nikola Lakic
Institution:Department of Mathematics, Graduate Center, CUNY, New York, New York 10016 ; Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Oh-okayama, Meguro-ku, Tokyo, 152-8552 Japan ; Department of Mathematics and Computer Science, Herbert H. Lehman College, CUNY, Bronx, New York 10468
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.

Keywords:Polynomial  critical point  univalent function
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