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Volume 7
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10.3390/math7030241
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Article

Simple Sufficient Subordination Conditions for Close-to-Convexity

by
Ebrahim Analouei Adegani
1,
Teodor Bulboacă
2,* and
Ahmad Motamednezhad
1
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
Submission 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)
Versions Notes

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 .
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

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MDPI and ACS Style

Analouei Adegani, E.; Bulboacă, T.; Motamednezhad, A. Simple Sufficient Subordination Conditions for Close-to-Convexity. Mathematics 2019, 7, 241. https://doi.org/10.3390/math7030241

AMA Style

Analouei Adegani E, Bulboacă T, Motamednezhad A. Simple Sufficient Subordination Conditions for Close-to-Convexity. Mathematics. 2019; 7(3):241. https://doi.org/10.3390/math7030241

Chicago/Turabian Style

Analouei Adegani, Ebrahim, Teodor Bulboacă, and Ahmad Motamednezhad. 2019. "Simple Sufficient Subordination Conditions for Close-to-Convexity" Mathematics 7, no. 3: 241. https://doi.org/10.3390/math7030241

APA Style

Analouei Adegani, E., Bulboacă, T., & Motamednezhad, A. (2019). Simple Sufficient Subordination Conditions for Close-to-Convexity. Mathematics, 7(3), 241. https://doi.org/10.3390/math7030241

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