On relations between the classes $\mathcal{S}$ and $\mathcal{U}$

Milutin Obradović, Saminathan Ponnusamy, Karl-Joachim Wirths

Let $\mathcal{A}$ denote the family of all functions $f$ analytic in the unit disk $\ID$ and satisfying the normalization $f(0)=0=f^{\prime }(0)-1$. Let $\mathcal{S}$ denote the subclass…