A NOTE ON MULTIVALENT FUNCTIONS (Division Problem in Douglas Algebras and Related Topics)
護 布川, Janusz Sokół · Kyoto University Research Information Repository (Kyoto University) · 2016
The Noshiro-Warschawski Theorem [1], [5] provides a simple and useful sufficient condition: $\mathfrak{R}\mathfrak{e}\{f'(z)$ ) $>0$ in $D$ , for the univalence of analytic function $f(z)$ in a convex domain $D$ .In this paper we prove some related results to this theorem.The applications of main results are also presented.