Properties of the modified roper-suffridge extension operators on reinhardt domains

In this paper, we mainly discuss the properties of the modified Roper-Suffridge operators on Reinhardt domains. By the analytical characteristics and distortion results of subclasses of biholomorphic mappings, we conclude that the modified Roper-Suffridge operators preserve the properties of S*Ω (β, A, B), almost starlike mapping of complex order λ on Ωn,p2, …,pn. Sequentially, we get that the modified Roper-Suffridge operators preserve spirallikeness of type β and order a, strongly pirallikeness of type β and order α, almost starlikeness of order α on Ωn,p2, …, Pn. The conclusions provide a new approach to construct these biholomorphic mappings which have special geometric properties in several complex variables.