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KYUNGPOOK Math. J. 2019; 59(2): 215-224

Published online June 23, 2019

Copyright © Kyungpook Mathematical Journal.

Coefficient Bounds for Several Subclasses of Analytic and Biunivalent Functions

Samira Rahrovi and Hossein Piri, Janusz SokÓŁ

Department of Mathematics, Basic Science Faculty, University of Bonab, Bonab, Iran
e-mail : s.rahrovi@bonabu.ac.ir and hossein_piri1979@yahoo.com

Faculty of Mathematics and Natural Sciences, University of Rzeszów, Prof. Pigonia street 1, 35-310 Rzeszów, Poland
e-mail : jsokol@ur.edu.pl

Received: December 17, 2016; Revised: March 20, 2019; Accepted: April 23, 2109

Abstract

In the present paper, some generalizations of analytic functions have been considered and the bounds of the coefficients of these classes of bi-univalent functions have been investigated.

Keywords: bi-univalent function, starlike function of order α, strongly starlike functions, strongly convex functions of order α, subordination.