7 citations · 21 across the 13 of their papers we have counts for
15 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…
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…
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…
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…
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…
A new approach to slice analysis via slice topology
X. Dou, M. Jin, G. Ren +1
In this paper we summarize some known facts on slice topology in the quaternionic case, and we deepen some of them by proving new results and discussing some examples. We then show…
A representation formula for slice regular functions over slice-cones in several variables
Xinyuan Dou, Guangbin Ren, Irene Sabadini
The aim of this paper is to extend the so called slice analysis to a general case in which the codomain is a real vector space of even dimension, i.e. is of the form $\mathbb{R}^{2…
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…
Extension theorem and representation formula in non-axially symmetric domains for slice regular functions
Xinyuan Dou, Guangbin Ren, Irene Sabadini
Slice analysis is a generalization of the theory of holomorphic functions of one complex variable to quaternions. Among the new phenomena which appear in this context, there is the…
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…