On a radius problem concerning a class of close-to-convex functions
Tom 31 / 1995
                    
                    
                        Banach Center Publications 31 (1995), 187-195                    
                                        
                        DOI: 10.4064/-31-1-187-195                    
                                    
                                                Streszczenie
The problem of estimating the radius of starlikeness of various classes of close-to-convex functions has attracted a certain number of mathematicians involved in geometric function theory ([7], volume 2, chapter 13). Lewandowski [11] has shown that normalized close-to-convex functions are starlike in the disc $|z| < 4√2 - 5$. Krzyż [10] gave an example of a function $f(z) = z + ∑_{n=2}^∞ a_n z^n$, non-starlike in the unit disc
 
             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                             
                                                         
                                                            