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On certain class of non-Bazilevič functions of order \(\alpha + i\beta\) defined by a differential subordination. (English) Zbl 1301.30010

Summary: We introduce a new subclass \(N_n (\lambda, \alpha, \beta, A, B)\) of Non-Bazilevič functions of order \(\alpha + i\beta\). Some subordination relations and inequality properties are discussed. The results obtained generalize the related work of some authors. In addition, some other new results are also obtained.

MSC:

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