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On a generalization of uniformly convex and related functions. (English) Zbl 1207.30023
Summary: We define and study some subclasses of analytic functions by using the concept of $k$-uniformly convexity. Several interesting properties, coefficients and radius problems are investigated. The behaviour of these classes under a certain integral operator is also studied. We indicate the relevant connections of our results with various known ones.
##### MSC:
 30C45 Special classes of univalent and multivalent functions
##### References:
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