6 papers
Two-sided slice regular functions
Xinyuan Dou, Haosen Liu, Ting Yang*
In this paper, we introduce two types of two-sided slice regular functions, which are left slice regular in the first variable and right slice regular in the second variable. We pr…
On the Enestrom-Kakeya Theorem for polynomials of an octonionic variable
Ting Yang, Xinyuan Dou
To study the zeros of octonionic polynomials, we generalize the well-known Enestrom-Kakeya Theorem to the case of octonions. In this paper, we first deal with octonionic polynomial…
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…
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…