Inhomogeneous Cauchy-Riemann equation in Octonion space

作     者：GONG Ding-dong 

作者机构：Department of Mathematical Science Zhejiang Sci-Tech University 

出 版 物：《Applied Mathematics(A Journal of Chinese Universities)》 (高校应用数学学报（英文版）（B辑）)

年 卷 期：2015年第30卷第4期

页      面：447-452页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Supported by the National Natural Science Foundation of China(11171298) the Zhejiang Natural Science Foundation of China(Y6110425) 

主　　题：Octonion integral representation of differentiable functions inhoraogeneous Cauchy-RiemannEquation Cousin problem. 

摘      要：The integral representation of differentiable functions in Octonion space is obtained and the explicit solution of the inhomogeneous Cauchy-Riemann equation is given by integral representation. As an application, the Cousin problem analogue of Mittag-Laffier problem is discussed.