4 papers · 1 filter
Domains of existence of slice regular functions in one quaternionic variable
Xinyuan Dou, Ming Jin, Guangbin Ren +1
Recently, we introduced domains of slice regularity in the space of quaternions and also proved that domains of slice regularity satisfy a symmetry with respect to pat…
Path-slice star-product on non-axially symmetric domains in several quaternionic variables
Xinyuan Dou, Ming Jin, Guangbin Ren +1
This paper extends the -product from slice analysis to weakly slice analysis in several quaternionic variables, focusing on non-axially symmetric domains. It diverges from tradi…
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…