A subclass of parabolic starlike and uniformly convex functions |
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Authors: | Oh Sang Kwon |
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Affiliation: | Department of Mathematics, Kyungsung University, Busan 608-736, Republic of Korea |
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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. |
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Keywords: | Uniformly convex functions Parabolic starlike functions Salagean operator Subordination Fekete-Szegö problems |
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