International Journal of Mathematics and Mathematical Sciences
Volume 22 (1999), Issue 3, Pages 605-610
doi:10.1155/S0161171299226051
On a class of univalent functions
Dinggong Yang1
and Jinlin Liu2
1Department of Mathematics, Suzhou University, Suzhou 215006, China
2Water Conservancy College, Yangzhou University, Yangzhou 225009, China
Abstract
We consider the class of univalent functions defined by the conditions f(z)/z≠0 and |(z/f(z))′′|≤α,|z|<1, where f(z)=z+⋯ is analytic in |z|<1 and 0<α≤2.