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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 5 (1982), Issue 2, Pages 281-288
doi:10.1155/S0161171282000258

The second coefficient of a function with all derivatives univalent

A. Sathaye and S.M. Shah

Department of Mathematics, University of Kentucky, Lexington 40506, Kentucky, USA

Abstract

We consider the second coefficient of a class of functions, univalent and normalized, and with all derivatives univalent in the unit disk D, and improve on a known result. It is also shown that this bound is in a sense best possible.