MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
On certain univalent class associated with functions of non-Bazilevič type
Rabha W. Ibrahim

Abstract

In this work, we study certain differential inequalities and first order differential subordinations. As their applications, we obtain some sufficient conditions for univalence, which generalize and refine some previous results.

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Keywords: Univalent functions; starlike functions; convex functions; close-to-convex functions; differential subordination; subordination; superordination; unit disk; $\Phi$-like functions; non-Bazilevič type; Dziok-Srivastava linear operator; sandwich theorem.

MSC: 30C45

Pages:  299$-$305     

Volume  65 ,  Issue  3 ,  2013