Document Zbl 1346.30005

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Univalence criteria for analytic functions defined by certain generalized differential operator. (English) Zbl 1346.30005

Transylv. J. Math. Mech. 7, No. 1, 1-6 (2015).

Summary: In this paper, we consider the generalized differential operator \(D_{\alpha,\mu}^n(\lambda,\omega)f(z)\) and we determine some sufficient conditions for univalence of analytic functions defined by this operator. Relevant connections of some results obtained with those in earlier works are also given.

MSC:

30C45

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

Keywords:

analytic functions in the disk; univalence criteria

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