Abstract
We establish some conditions under which the differential subordination of the type $p(z) + zp'(z)/p(z) \prec Q(z)$ yields $p \prec q$ in $\mathcal U$. Functions $Q$ and $q$ are chosen so that they map the unit disk onto domains enclosed by conic sections. Some applications of obtained results are given.
Citation
Stanisława Kanas. "Subordinations for domains bounded by conic sections." Bull. Belg. Math. Soc. Simon Stevin 15 (4) 589 - 598, November 2008. https://doi.org/10.36045/bbms/1225893941
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