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Loewner chains applied to g-starlike mappings of complex order of complex Banach spaces

Loewner chains applied to g-starlike mappings of complex order of complex Banach spaces

This paper is devoted to studying geometric and analytic properties of gstarlike mappings of complex order λ.By using Loewner chains, we obtain the growth theorems for g-starlike mappings of complex order λ on the unit ball in reflexive complex Banach spaces, which generalize some results of Graham, Hamada and Kohr.As …