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http://dx.doi.org/10.5666/KMJ.2018.58.2.257

First Order Differential Subordinations for Carathéodory Functions  

Gandhi, Shweta (Department of Mathematics, University of Delhi)
Kumar, Sushil (Bharati Vidyapeeth's College of Engineering)
Ravichandran, V. (Department of Mathematics, University of Delhi)
Publication Information
Kyungpook Mathematical Journal / v.58, no.2, 2018 , pp. 257-270 More about this Journal
Abstract
The well-known theory of differential subordination developed by Miller and Mocanu is applied to obtain several inclusions between $Carath{\acute{e}}odory$ functions and starlike functions. These inclusions provide sufficient conditions for normalized analytic functions to belong to certain class of Ma-Minda starlike functions.
Keywords
Differential subordination; starlike function; $Carath{\acute{e}}odory$ functions; Janowski function;
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Times Cited By KSCI : 1  (Citation Analysis)
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