具有 α 权重的多项式狄拉克方程解的考奇积分公式

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications Pub Date : 2025-04-09 DOI:10.1016/j.jmaa.2025.129577

Shuoxing He, Xiaojing Du, Yonghong Xie

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引用次数: 0

摘要

首先，通过构建一个新的核函数，得到了带α权的多项式狄拉克方程解的考希积分公式。随后，建立了具有 α 权重的多项式狄拉克方程解与具有 α 权重的 k 单元函数之间的关系。基于这种关系，提出了具有 α 权重的多项式狄拉克方程的解的相应考希积分公式。

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Cauchy integral formulae for solutions to polynomial Dirac equations with α-weight

Firstly, the Cauchy integral formula for solutions to polynomial Dirac equations with α-weight is obtained by constructing a new kernel function. Subsequently, the relationship between the solutions to polynomial Dirac equations with α-weight and k-monogenic functions with α-weight is established. Based on this relationship, the corresponding Cauchy integral formula for solutions to polynomial Dirac equations with α-weight is presented.

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来源期刊

Journal of Mathematical Analysis and Applications 数学-数学

CiteScore

2.50

自引率

7.70%

发文量

790

审稿时长

6 months

期刊介绍： The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.