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We will give the relation between the class of Janowski starlike functions of complex order and the class of Janowski convex functions of complex order. As a corollary of this relation, we obtain the radius of starlikeness for the class of Janowski convex functions of complex order. 1. Introduction. Let F be the class of analytic functions in D = {z | |z| <… (More)

- Y Polatoglu, M Caglar, A Sen
- 2006

Nehari norm of the Schwarzian derivative of an analytic function is closely related to its univalence. The famous Nehari–Kraus theorem ([3], [4]) and Ahlfors–Weill theorem [1] are of fundamental importance in this direction. For a non-constant meromorphic function f on D the unite disc, the Schwarzian derivative S f of f by is holomorphic at z0 ∈ D if and… (More)

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