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Peer-Reviewed Article March 30, 2013

On a new subclass of bi-univalent functions

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Published in: Journal of the Egyptian Mathematical Society
Publisher: Springer Science+Business Media • Egypt • 1110-256X
DOI: https://doi.org/10.1016/j.joems.2013.02.007

Abstract

The purpose of the present paper is to introduce a new subclass of the function class ∑ of bi-univalent functions defined in the open unit disc. Furthermore, we obtain estimates on the coefficients ∣a2∣ and ∣a3∣ for functions of this class. Relevant connections of the results presented here with various well-known results are briefly indicated.

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