Length problems for Bazilevič functions

Abstract

Let C(r) denote the curve which is image of the circle |z| = r < 1 under the mapping f . Let L(r) be the length of C(r) and A(r) the area enclosed by the curve C(r). Furthermore M(r) = max|z|=r |f (z)|.We present some relations between these notions for Bazilevič functions.

Keywords

• bazilevič function
• close-to-convex functions
• convex functions
• starlike function
• convex function
• 30c45
• 30c80