Cauchy theorems for solutions to polynomial Dirac equations with $\alpha $-weight in superspace

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发表日期：

2025年9月15日

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Yonghong Xie,
Shuoxing He,
Xiaojing Du

摘要

In this paper, Cauchy theorems for solutions to polynomial Dirac equations with $\alpha $ $α$ -weight in superspace are studied using two methods. First, by constructing a new fundamental solution, the first kind of Cauchy theorem is obtained. Then the connection between polynomial Dirac operators with $\alpha $ $α$ -weight and iterative Dirac operators with $\alpha $ $α$ -weight in superspace is obtained. Finally, using this connection, the second kind of Cauchy theorem is obtained.

Cauchy theorems for solutions to polynomial Dirac equations with \(\alpha \)-weight in superspace

摘要