zbMATH — the first resource for mathematics

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.)