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Simple Sufficient Subordination Conditions for Close-to-Convexity

1
Faculty of Mathematical Sciences, Shahrood University of Technology, P.O. Box 316-36155 Shahrood, Iran
2
Faculty of Mathematics and Computer Science, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania
*
Author to whom correspondence should be addressed.
Mathematics 2019, 7(3), 241; https://doi.org/10.3390/math7030241
Received: 29 January 2019 / Revised: 5 March 2019 / Accepted: 6 March 2019 / Published: 7 March 2019
(This article belongs to the Special Issue Complex Analysis and Its Applications 2019)
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PDF [236 KB, uploaded 7 March 2019]

Abstract

Using several applications of the theory of differential subordination we obtain sufficient conditions for usually normalized analytic functions to belong to certain subclasses of close-to-convex functions and close-to-convex functions of order α . View Full-Text
Keywords: analytic functions; univalent function; differential subordination; starlike and close-to-convex functions of order α analytic functions; univalent function; differential subordination; starlike and close-to-convex functions of order α
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Analouei Adegani, E.; Bulboacă, T.; Motamednezhad, A. Simple Sufficient Subordination Conditions for Close-to-Convexity. Mathematics 2019, 7, 241.

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