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.


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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