Growth results for a subclass of Bazilevič functions

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).

Keywords

• Bazilevic functions
• subclasses of S
• functions whose derivative has positive real part
• close-to-convex functions
• coefficient and length-area estimates.