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Neighborhoods of a class of analytic functions with negative coefficients. (English) Zbl 0955.30015

Summary: By making use of the familiar concept of neighborhoods of analytic functions, the authors prove several inclusion relations associated with the \((n,\delta)\)-neighborhoods of various subclasses of starlike and convex functions of complex order. Special cases of some of these inclusion relations are shown to yield known results.

MSC:

30C50 Coefficient problems for univalent and multivalent functions of one complex variable
30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)
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