On Sakaguchi type functions. (English) Zbl 1113.30018

Owa, Shigeyoshi; Sekine, Tadayuki; Yamakawa, Rikuo

Appl. Math. Comput. 187, No. 1, 356-361 (2007).

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 \({\mathcal F}_0(\alpha,t)\)

MSC:

30C45

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)

Keywords:

Sakaguchi function; coefficient inequality; distortion inequality

References:

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