A class of bounded starlike functions
Let \(R(\alpha)\), \(\alpha<1\), denote the class of functions \(f\) which are analytic in the unit disk \(D\) and such that \[ \text{Re}(f'(z)+ zf''(z))>\alpha,\quad z\in D. \] The author obtains extreme points, sharp lower bounds on \(\text{Re }f'(z)\) and \(\text{Re}(f(z)/z)\) for \(f\in R(\alpha)\).
scientific article; zbMATH DE number 569391