A Characterization of $\alpha$-Convex Functions with Sharp Coefficient and Schwarzian Estimates

Víctor Bravo, Pablo Carrasco, Rodrigo Hernández +1

The class $M_{\alpha }$ of $\alpha$-convex functions, introduced by Mocanu in 1969, interpolates between starlike and convex functions. We prove a characterization of $M_{\alpha }$ that extends a theor…