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Growth Theorems in Slice Analysis of Several Variables

  • Guangbin Ren
  • Ting YangEmail author
Article
  • 46 Downloads

Abstract

In this paper, we define a class of slice mappings of several variables in the quadratic cones of Clifford algebras, 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 variables in the quadratic cones of Clifford algebras, as well as on the bounded slice domains which are slice starlike and slice circular.

Keywords

Clifford algebras Several variables Slice regular mappings Growth theorem 

Mathematics Subject Classification

Primary 30G35 Secondary 30C45 

Notes

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of Science and Technology of ChinaHefeiChina

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