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2013 On Certain Subclass of Analytic Functions with Fixed Point
T. Al-Hawary, B. A. Frasin, M. Darus
J. Appl. Math. 2013: 1-8 (2013). DOI: 10.1155/2013/312387

Abstract

A new certain differential operator Tα,β,δ,λmf(z) and a subclass Sm,w*(α,β,γ,δ,λ) are introduced for functions of the form f(z)=(zw)n=2an(zw)n which are univalent in the unit disc U={z:|z|<1}. In this paper, we obtain coefficient inequalities, distortion theorem, closure theorems, and class preserving integral operators of functions belonging to the class Sm,w*(α,β,γ,δ,λ).

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T. Al-Hawary. B. A. Frasin. M. Darus. "On Certain Subclass of Analytic Functions with Fixed Point." J. Appl. Math. 2013 1 - 8, 2013. https://doi.org/10.1155/2013/312387

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 1267.30029
MathSciNet: MR3032239
Digital Object Identifier: 10.1155/2013/312387

Rights: Copyright © 2013 Hindawi

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