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

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外文摘要：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.

外文关键词：

(pq)-monogenic functions with α-weightCauchy-Pompeiu formulaCauchy integral formulaCauchy integral theorem

作者：

GAO Long、DU Xiao-jing、LIU Yue、XIE Yong-hong

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作者单位：

School of Mathematical Sciences,Hebei Normal University,Shijiazhuang 050024,China

基金：

National Natural Science Foundation of ChinaScience Foundation of Hebei ProvinceScience Foundation of Hebei ProvinceKey Development Foundation of Hebei Normal University in 2024Graduate Student Innovation Project Fund of Hebei ProvinceKey Foundation of Hebei Normal University

项目编号：

1 1871191A2023205006A2019106037L2024ZD08CXZZBS2022066L2018Z01

出版年：

2024

DOI：

10.1007/s11766-024-4530-9

高校应用数学学报B辑(英文版)

浙江大学中国工业与应用数学学会

高校应用数学学报B辑(英文版)

影响因子：0.146

ISSN：1005-1031

年,卷(期)：2024.39(3)