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- W2007499097 abstract "Let Ω ⊂ C n be a bounded starlike circular domain with 0 ∈ Ω . In this paper, we introduce a class of holomorphic mappings M g on Ω . Let f ( z ) be a normalized locally biholomorphic mapping on Ω such that J f − 1 ( z ) f ( z ) ∈ M g and z = 0 is the zero of order k + 1 of f ( z ) − z . We obtain a sharp growth theorem and sharp coefficient bounds for f ( z ) . As applications, sharp distortion theorems for a subclass of starlike mappings are obtained. These results unify and generalize many known results." @default.
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- W2007499097 date "2010-06-01" @default.
- W2007499097 modified "2023-10-17" @default.
- W2007499097 title "Biholomorphic mappings on bounded starlike circular domains" @default.
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- W2007499097 doi "https://doi.org/10.1016/j.jmaa.2009.12.025" @default.
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