Biregular functions

The regular functions with two variables are studied,so called biregular functions.

研究了含有2个变量的正则函数,所谓的双正则函数。

Mean value theorem,maximum modulus principle and some corollaries are discussed on the basis of giving Cauchy integral formula for biregular functions in real Clifford analysis.

在给出了实Clifford分析中双正则函数的柯西积分公式的基础上,讨论了双正则函数的平均值定理和最大模原理以及它的一些推论。

A boundary value problem with shift for biregular function in Clifford analysis;

Clifford分析中双正则函数带位移的边值问题

Laurent expansion and Liouville theorem of biregular function in Clifford analysis

Clifford分析中双正则函数的Laurent展式和Liouville定理

in this paper, we discuss biregular function in Clifford Analysis and consider anonlinear boundary value problem for biregular function with a Haseman shift.

Ｃｌｉｆｆoｒｄ分析中的双正则函数是一类广义正则函数，它的研究是近年来函数论领域内的一个热门分支，本文研究双正则函数的非线性带位移的边值问题。

We first introduce hyperbolic numbers; hyperbolic complex functions and hyperbolic pseudoregular functions and prove the existence of solutions for first boundary value problems for nonlinear hyperbolic complex equations of second order by Schauder Theorem.

首先介绍双曲数、双曲复函数及双曲伪正则函数 ,然后运用Schauder不动点定理证明二阶非线性双曲复方程的第一边值问题存在解 。

This paper first introduces hyperbolic numbers, hyperbolic complex functions and hyperbolic pseudoregular functions.

首先介绍了双曲数，双曲复变函数及双曲伪正则函数。

Equivalent condition of bihypermonogenic function in real Clifford analysis;

实Clifford分析中双超正则函数的等价条件

In the first part of this paper,we give the definition of bihypermonogenic functions in the real clifford analysis.

第1部分给出了实Clifford分析中双超正则函数的定义,并运用拟置换的思想得到了双超正则函数的等价条件,第2部分讨论了实Clifford分析中双超正则函数的柯西积分公式。

This paper discusses generalized biregular function in Clifford analysis and it s nonlinear boundary value problem with Haseman shift, and takes the problem to a integral equation problem by useing the method integral transformation.

本文研究Ｃｌｉｆｆｏｒｄ分析中的广义双正则函数及其一类非线性带Ｈａｓｅｍａｎ位移的边 值问题。

In this paper, we consider generalized biregular functions in Clifford analysis and the nonlinear boundary value problem with conjugate value and a kind of shift, First, Plemelj formula is obtained, then with the help of integral equations and the Schauder fixedpoint theorem, we discuss the solvability for the boundary value problem

本文讨论实Clifford分析中广义双正则函数的带共轭值和带位移的非线性边值问 题,首先得到其Plemelj公式,然后用积分方程的方法和Schauder 不动点定理讨论了这个边值 问题的可解性

The Properties for Biregular Function in Clifford Analysis;

Clifford分析中双正则函数的性质

Some Properties for Sequence of Biregular Functions in Real Clifford Analysis

实Clifford分析中双正则函数列的性质

Maximum Modulus Principle for Biregular Functions in Real Clifford Analysis

实Clifford分析中双正则函数的最大模原理

Laurent expansion and Liouville theorem of biregular function in Clifford analysis

Clifford分析中双正则函数的Laurent展式和Liouville定理

Equivalent condition of bihypermonogenic function in real Clifford analysis;

实Clifford分析中双超正则函数的等价条件

Hyperbolic Tangent Function Method and New Solitary Wave Solutions for Regularized Long Wave Equation;

双曲正切函数方法和规则长波方程的新孤波解

Cauchy Integral Formula of Bihypermonogenic Functions in Real Clifford Analysis

实Clifford分析中双超正则函数的Cauchy积分公式

Orthogonal Function Basis and Positive Definite Function Basis of Double Linear Function Space;

双线性函数空间的正交函数基与正定函数基

K-regular Functions in Clifford Analysis;

Clifford分析中的k-正则函数

K-hypermonogenic functions and quadratic k-hypermonogenic functions in Clifford analysis

Clifford分析中的k-超正则函数和二次k-超正则函数

Normalities Invole Shared Functions and Omitted Functions

涉及分担函数和例外函数的正规定则

Properties of k-Hypermonogenic Functions and Their Relative Functions

k-超正则函数及其相关函数的性质

Hardening function of two-parameter twin shear unified failure criterion

双剪双参数强度准则硬化函数的探讨

The Properties and Criterion of Normal Functions and α-normal Functions;

正规函数与α-正规函数的性质及判别准则

On some properties of k-Regular functions and Riemann boundary value problems with conjugate for k-Regular function

k-正则函数的某些性质及其共轭k-正则函数的Riemann边值问题

Riemann-Hilbert Boundary Value Problem of Non-regular Equations;

非正则函数组Riemann-Hilbert边值问题

In Clifford Analysis Riemann Boundary Value Inverse Problemwith Regular Functional Vector;

实Clifford中正则函数向量的Riemann边值逆问题

Some Properties of k-hypermonogenic Function with Vector Value in Clifford Analysis;

Clifford分析中k-超正则向量值函数的性质