International Journal of Mathematics and Mathematical Sciences
Volume 14 (1991), Issue 4, Pages 821-823
doi:10.1155/S0161171291001126
A note on Bazilevič functions
S.A. Halim
and D.K. Thomas
Department of Mathematics and Computer Science, University of Swansea, Singleton Park, Swansea SA2 8PP, UK
Abstract
For α>0, let B1(α) be the class of normalized analytic functions defined in the open unit disc D satisfying Re(f(z)/z)α−1f′(z)>0 for z∈D. The sharp lower bound for Re(f(z)/z)α is obtained and the result is generalized to some iterated integral operators.