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Neighborhoods of certain classes of analytic functions of complex order. (English) Zbl 1051.30017

The authors use the concept of neighborhoods of analytic functions to prove several inclusion relations associated with the \((\eta,\delta)\)-neighborhoods of certain subclasses of analytic functions of complex order. The latter are defined by means of the Ruscheweyh derivatives. Special cases of some of these inclusion relations are shown to yield previously known results.

MSC:

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