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Growth theorems in slice analysis of several variables

2018/10/25 by Guangbin Ren, Ting Yang, Ren, Guangbin +1
Mathematics · #Algebraic and Geometric Analysis #Holomorphic and Operator Theory #Mathematical Analysis and Transform Methods #math.CV

paper · pdf · doi:10.48550/arxiv.1810.10847

arxiv created 2018/10/25 · arxiv updated 2018/10/26

Abstract

In this paper, we define a class of slice mappings of several Clifford variables, and the corresponding slice regular mappings. Furthermore, we establish the growth theorem for slice regular starlike or convex mappings on the unit ball of several slice Clifford variables, as well as on the bounded slice domain which is slice starlike and slice circular.

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