In this paper,the authors discuss the invariance of strong and almost spiral-like mappingns of type β and order α under some generallized Roper-Suffridge extension operators on the unit ball B~n in C~n.From the definitions and the distortion theorems of biholomorphic mappings,they prove that the generallized operators keep strong and almost spirallikeness of type β and order α,thus they obtain that the generallized operators keep strong spirallikeness of type β,strong and almost starlikeness of order α as w...
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