International Journal of Mathematics and Mathematical Sciences
Volume 8 (1985), Issue 4, Pages 785-793
doi:10.1155/S0161171285000862

Growth results for a subclass of Bazilevich functions

Rabha Md. El-Ashwah and D.K. Thomas

Department of Mathematics and Computer Science, University College of Swansea, Singleton Park, Swansea SA2 8PP, South Wales, UK

Abstract

For α>0, let B(α) be the class of regular normalized Bazilevič functions defined in the unit disc. Choosing the associated starlike function g(z)≡z gives a proper subclass B1(α) of B(α). For B(α), correct growth estimates in terms of the area function are unknown. Several results in this direction are given for B1(12).