## Some properties of certain analytic functions.(English)Zbl 0646.30017

Summary: The object of the present paper is to show some interesting properties of certain analytic functions F(z) defined by $F(z)=(1- \lambda)f(z)+\lambda zf'(z)\quad (\lambda \geq 0)$ for f(z) which is analytic in the unit disk.

### MSC:

 30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)