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A subclass of parabolic starlike and uniformly convex functions
Authors:Oh Sang Kwon
Affiliation:Department of Mathematics, Kyungsung University, Busan 608-736, Republic of Korea
Abstract:Let A be the class of analytic functions in the open unit disk U. A function f in A satisfying the normalization is said to be in the class SPn if Dnf is a parabolic starlike function, where Dn is a notation of the Salagean operator. In this paper, several basic properties and characteristics of the class SPn are investigated. These include subordination, convolution properties, class-preserving integral operators, and Fekete-Szegö problems.
Keywords:Uniformly convex functions   Parabolic starlike functions   Salagean operator   Subordination   Fekete-Szegö   problems
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