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Higher Order Teodorescu Operators in Superspace
  • ISSN号：2095-2651
  • 期刊名称：Journal of Mathematical Research with Applications
  • 时间：2015.11.30
  • 页码：643-652
  • 分类：O189.11[理学—数学;理学—基础数学] O177.1[理学—数学;理学—基础数学]
  • 作者机构：[1]College of Science, He-bei University ofEngineering, ttebei 056038, P. R. China, [2]College of Mathematics and Information Science, Hebei Normal University, Hebei 050024, P. R. China
  • 相关基金：Supported by the Tian Yuan Special Funds of the National Natural Science Foundation of China（Grant No.11426082）; the National Natural Science Foundation of China（Grant No.10771049）; the Science Foundation of Hebei Province（Grant No.A2015402034）
  • 相关项目：超空间上两类Dirac方程及其相关方程解的性质及应用
作者： Hongfen Yuan|Yuying Qiao|
关键词： 超空间, 高阶, 算子, 唯一性定理, 运营商, 和函数, 柯西, superspace Teodorescu operator k-supermonogenic functions Morera type theorem Painleve theorem uniqueness theorem
中文摘要：

We investigate some fundamental properties of the higher order Teodorescu operators which are defined by the high order Cauchy-Pompeiu formulas in superspace. Moreover,we get an expansion of Almansi type for k-supermonogenic functions in sense of the Teodorescu operators. By the expansion, a Morera type theorem, a Painleve theorem and a uniqueness theorem for k-supermonogenic functions are obtained.

英文摘要：

We investigate some fundamental properties of the higher order Teodorescu operators which are defined by the high order Cauchy-Pompeiu formulas in superspace. Moreover,we get an expansion of Almansi type for k-supermonogenic functions in sense of the Teodorescu operators. By the expansion, a Morera type theorem, a Painleve theorem and a uniqueness theorem for k-supermonogenic functions are obtained.

同期刊论文项目
Clifford分析理论与高维空间的偏微分方程
期刊论文 58 会议论文 4
超空间上两类Dirac方程及其相关方程解的性质及应用
期刊论文 8
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期刊信息
  • 《数学研究及应用：英文版》
  • 中国科技核心期刊
  • 主管单位:国家教育部
  • 主办单位:大连理工大学
  • 主编：王仁宏
  • 地址：大连理工大学应用数学系
  • 邮编：116024
  • 邮箱：
  • 电话：0411-84707392
  • 国际标准刊号：ISSN：2095-2651
  • 国内统一刊号：ISSN：21-1579/O1
  • 邮发代号:8-92
  • 获奖情况:
  • 1998年大连市优秀期刊奖,2000年大连市优秀期刊奖
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊
  • 被引量:36