A Cauchy integral formula for(p, q)-monogenic functions with α-weight

作     者：GAO Long DU Xiao-jing LIU Yue XIE Yong-hong 

作者机构：School of Mathematical Sciences Hebei Normal University 

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

年 卷 期：2024年第39卷第3期

页      面：545-553页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by the National Natural Science Foundation of China(11871191) the Science Foundation of Hebei Province(A2023205006, A2019106037) the Key Development Foundation of Hebei Normal University in2024(L2024ZD08) the Graduate Student Innovation Project Fund of Hebei Province(CXZZBS2022066) the Key Foundation of Hebei Normal University(L2018Z01) 

摘      要：Firstly, some properties for (p, q)-monogenic functions with α-weight in Clifford analysis are given. Then, the Cauchy-Pompeiu formula is proved. Finally, the Cauchy integral formula and the Cauchy integral theorem for (p, q)-monogenic functions with α-weight are given.