Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
Volume 11 (2016), 11 -- 19

This work is licensed under a Creative Commons Attribution 4.0 International License.

A NEW SUBCLASS OF CLOSE-TO-CONVEX FUNCTIONS

J. K. Prajapat

Abstract. In this work, we introduce and investigate an interesting subclass X_t(γ) of analytic and close-to-convex functions in the open unit disk U. For functions belonging to the class X_t(γ), we drive several properties including coefficient estimates, distortion theorems, covering theorems and radius of convexity.

2010 Mathematics Subject Classification: 30C45
Keywords: Analytic Functions, Univalent Function, Starlike Functions, Close-to-Convex Function

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J. K. Prajapat
Department of Mathematics,
Central University of Rajasthan,
Bandarsindri, Kishangarh-305817,
Dist.-Ajmer, Rajasthan, INDIA.
e-mail: jkprajapat@curaj.ac.in
http://wikieducator.org/User:Jkprajapat

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