A note on starlikeness of certain integrals*


Milutin Obradović




We consider the starlikeness of integral transform $F(z)=\frac{\alpha+1}\alpha\int_0^zt^{\alpha-1}f(t)\,dt$, where $f$ is analytic in $|z|<1$, $f(0)=0$, and $\operatorname{Re}\{f'(z)\}>0$.