Sharp coefficient, logarithmic and Schwarzian estimates for $\alpha$-convex functions on the real line

Víctor Bravo, Pablo Carrasco, Rodrigo Hernández +1

The class $M_{\alpha }$ of $\alpha$-convex functions, introduced by Mocanu in 1969, interpolates between starlike ($\alpha =0$) and convex ($\alpha =1$) mappings and has traditionally been studied only for…