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Certain integral operator and strongly starlike functions

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  • Jin-Lin Liu

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.

Suggested Citation

  • Jin-Lin Liu, 2002. "Certain integral operator and strongly starlike functions," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 30, pages 1-6, January.
    • Handle: RePEc:hin:jijmms:154682
    DOI: 10.1155/S016117120200786X
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