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On Sakaguchi type functions. (English) Zbl 1113.30018
Two subclasses \({\mathcal S}(\alpha,t)\) and \({\mathcal F}(\alpha,t)\) are introduced concerning with Sakaguchi functions in the open unit disk \(\mathbb U\). Further, by using the coefficient inequalities for the classes \({\mathcal S}(\alpha,t)\) and \({\mathcal F}(\alpha,t)\), two subclasses \({\mathcal F}_0(\alpha,t)\) and \({\mathcal F}_0(\alpha,t)\) are defined. The object of the present paper is to discuss some properties of functions belonging to the classes \({\mathcal S}_0(\alpha,t)\) and \({\mathcal F}_0(\alpha,t)\)

30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)
Full Text: DOI
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