A characterization of the class of starlike functions of complex order


Milutin Obradović, M. K. Aouf, Shigeyoshi Owa




Let $S(b)$ $(b\neq0$, complex) denote the class of functions $f$ analytic in $|z|<1$, normalized so that $f(0)=f'(0)-1=0$ and starlike of order $b$. A necessary and sufficient condition that $f\in S(b)$ is given.