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Notes on Sakaguchi functions. (English) Zbl 1090.30024
Summary: By using the definition for certain univalent functions \(f(z)\) in the open unit disk \(U\) given by K. Sakaguchi [J. Math. Soc. Japan 11, 72–75 (1959; Zbl 0085.29602)], two classes \(S(\alpha)\) and \(T(\alpha)\) of analytic functions in U are introduced. The object of the present paper is to discuss some properties of functions \(f(z)\) belonging to the classes \(S(\alpha)\) and \(T(\alpha)\).

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