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Zbl 1207.30023
Noor, Khalida Inayat
On a generalization of uniformly convex and related functions. (English)
[J] Comput. Math. Appl. 61, No. 1, 117-125 (2011). ISSN 0898-1221

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 2000:
*30C45 Special classes of univalent and multivalent functions

Keywords: conic domains; univalent; $k$-uniformly convex; bounded boundary rotation; subordination; integral operator; Carathéodory functions; elliptic integral

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