On Becker's univalence criterion

Juha-Matti Huusko, Toni Vesikko

We study locally univalent functions $f$ analytic in the unit disc $\mathbb{D}$ of the complex plane such that $|f"(z)/f^{\prime }(z)|(1-|z{|}^2)\le 1+C(1-|z|)$ holds for all $z\in\mathbb{…