On the radii of convexity and starlikeness for some special classes of analytic functions in a disk

• Date: 1996
• Main Authors: Kotsur, I. M., Kotsur, M. F., Коцур, И. М., Коцур, М. Ф.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1996
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5268
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We introduce the class O α, 0≤α≤1, of functions w=ƒ(z), ƒ(0)=0, ƒ′(0)=0,..., ƒ (0) (n−1) =0, f (n)(0)=(n-l)! analytic in the disk |z|