8 papers · 1 filter
Slice Fueter-regular functions on arbitrary domains in octonions
Xinyuan Dou, Guangbin Ren, Zeping Zhu +1
This paper is concerned with a class of generalized slice Fueter-regular functions on arbitrary domains in O with local stem functions. Some classical theorems such as the maximum…
Growth theorems for slice Dirac-regular mappings over Clifford algebras
Ting Yang, Xinyuan Dou
In this paper, we define a class of slice Dirac-regular mappings of several variables over Clifford algebras, based on the concept of O(3)-stem mappings. We prove that the slice ma…
Convergence domains of sedenionic star-power series
Xinyuan Dou, Ming Jin, Guangbin Ren +1
The theory of slice regular (also called hyperholomorphic) functions is a generalization of complex analysis originally given in the quaternionic framework, and then further extend…
Zeroes of weakly slice regular functions of several quaternionic variables on non-axially symmetric domains
Xinyuan Dou, Ming Jin, Guangbin Ren +1
In this research, we study zeroes of weakly slice regular functions within the framework of several quaternionic variables, specifically focusing on non-axially symmetric domains.…
Algebra of slice regular functions on non-symmetric domains in several quaternionic variables
Xinyuan Dou, Ming Jin, Guangbin Ren +1
The primary objective of this paper is to establish an algebraic framework for the space of weakly slice regular functions over several quaternionic variables. We recently introduc…
Weak slice regular functions on the -dimensional quadratic cone of octonions
Xinyuan Dou, Guangbin Ren, Irene Sabadini +1
In the literature on slice analysis in the hypercomplex setting, there are two main approaches to define slice regular functions in one variable: one consists in requiring that the…