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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.)
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