On a subclass of Bazilevič functions

Abstract

Let B(α) be the class of normalised Bazilevič functions of type α>0 with respect to the starlike function g. Let B1(α) be the subclass of B(α) when g(z)≡z. Distortion theorems and coefficient estimates are obtained for functions belonging to B1(α).

Keywords

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