Certain integral operator and strongly starlike functions

Jin-Lin Liu

International Journal of Mathematics and Mathematical Sciences, 2002, vol. 30, 1-6

Abstract:

Let S ∗ ( ρ , γ ) denote the class of strongly starlike functions of order ρ and type γ and let C ( ρ , γ ) be the class of strongly convex functions of order ρ and type γ . By making use of an integral operator defined by Jung et al. (1993), we introduce two novel families of strongly starlike functions S β α ( ρ , γ ) and C β α ( ρ , γ ) . Some properties of these classes are discussed.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:154682

DOI: 10.1155/S016117120200786X

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