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Subclasses of Bi-Univalent Functions of Complex Order Based on Subordination Conditions Involving Wright Hypergeometric Functions

By Gangadharan Murugusundaramoorthy

Abstract

In this paper, we introduce and investigate a new subclass of bi-univalent functions Σ of complex order dened in the open unit disk, which are associated with hypergeometric functions and satisfying subordinate conditions. Furthermore, we nd estimates on the Taylor-Maclaurin coecients | a2 | and | a3 | for functions in the new subclass. Several (known or new) consequences of the results are also pointed out

Topics: analytic functions, bi-univalent functions, bi-starlike and bi-convex functions, Dziok-Srivastava operator, Gaussian hypergeometric function, univalent functions, Science, Q, Science (General), Q1-390
Publisher: ITB Journal Publisher
Year: 2015
DOI identifier: 10.5614/j.math.fund.sci.2015.47.1.5
OAI identifier: oai:doaj.org/article:6b5808964ab4443b8ac2d81e559ff8ba
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