19 citations · 85 across the 29 of their papers we have counts for
4 papers · 2 filters
Slice regular functions of several octonionic variables
Guangbin Ren, Ting Yang
Octonionic analysis is becoming eminent due to the role of octonions in the theory of G2 manifold. In this article, a new slice theory is introduced as a generalization of the holo…
Growth theorems in slice analysis of several variables
Guangbin Ren, Ting Yang
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 sli…
Riemann slice-domains over quaternions II
Xinyuan Dou, Guangbin Ren
We generalize the representation formula from slice-domains of regularity to general Riemann slice-domains. This result allows us to extend the -product of slice regular functio…
Riemann slice-domains over quaternions I
Xinyuan Dou, Guangbin Ren
We construct a counterexample to a well-known extension theorem for slice regular functions, which motivates us to develop a theory of Riemann slice-domains by introducing a new to…