A5078936088- Mathematical Analysis and Transform Methods
- Algebraic and Geometric Analysis
- Holomorphic and Operator Theory
- Analytic and geometric function theory
- Meromorphic and Entire Functions
- Logic, Reasoning, and Knowledge
- Noncommutative and Quantum Gravity Theories
- Modular Robots and Swarm Intelligence
- Differential Equations and Boundary Problems
- Geometric and Algebraic Topology
- Advanced Algebra and Logic
- Distributed systems and fault tolerance
Anqing Normal University
2020-2021
University of Science and Technology of China
2018-2020
Jiangxi Normal University
2015-2016
A slice theory of several octonionic variables is introduced in the article as a generalization holomorphic complex variables. Our new trick to focus our attentions on some subset with same structures. In setting, Bochner‐Martinelli formula and Hartogs extension theorems are established for functions
Abstract Let f be an holomorphic function which maps the unit disk into itself. In this paper, consider zero of order k ( i.e. , $f(z)-f(0)$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>f</mml:mi> <mml:mo>(</mml:mo> <mml:mi>z</mml:mi> <mml:mo>)</mml:mo> <mml:mo>−</mml:mo> <mml:mn>0</mml:mn> </mml:math> (or $f(z)$ ) has a at $z=0$ <mml:mo>=</mml:mo> ), we obtain sharp estimates classical boundary Schwarz lemma involving fixed point. The results presented here would...
In the literature on slice analysis in hypercomplex setting, there are two main approaches to define regular functions one variable: consists requiring that restriction any complex plane is holomorphic (with same structure of plane), second makes use stem and functions. So far, setting several variables, only approach has been considered, i.e. based this paper, we instead first definition so-called $n$-dimensional quadratic cone octonions. These yield class axially symmetric slice-domains,...
In the present paper, authors derive sufficient conditions for functions to be in a certain general class of Carath?odory open unit disk by using Miller-Mocanu lemma. As an application our main result, we deduce belonging ST ?u? which is introduced here. The various results presented here would generalize and extend many known results.
The primary objective of this paper is to establish an algebraic framework for the space weakly slice regular functions over several quaternionic variables. We recently introduced a $*$-product that maintains path-slice property within class functions. It noteworthy directly applicable functions, as every function defined on slice-open set inherently possesses properties. Building foundation, we propose precise definition open neighborhood path $\gamma$ in $\mathscr{P}(\mathbb{C}^n)$. This...
In this paper, we define a class of slice mappings several Clifford variables, and the corresponding regular mappings. Furthermore, establish growth theorem for starlike or convex on unit ball as well bounded domain which is circular.
Octonionic analysis is becoming eminent due to the role of octonions in theory G2 manifold. In this article, a new slice introduced as generalization holomorphic several complex variables noncommutative or nonassociative realm. The Bochner-Martinelli formula established for functions octonionic well quaternionic variables. setting, we find Hartogs phenomena regular