期刊信息

  • 刊名: 河北师范大学学报(自然科学版)Journal of Hebei Normal University (Natural Science)
  • 主办: 河北师范大学
  • ISSN: 1000-5854
  • CN: 13-1061/N
  • 中国科技核心期刊
  • 中国期刊方阵入选期刊
  • 中国高校优秀科技期刊
  • 华北优秀期刊
  • 河北省优秀科技期刊

超解析函数在可求长Jordan闭曲线的Riemann边值问题

  • 商丘师范学院数学系 河南 商丘 476000
  • DOI:

Riemann Boundary Value Problems for Hyperanalytic Function in the Rectifiable Jordan Closed Curve

摘要/Abstract

摘要:

研究了超解析函数在非光滑可求长Jordan闭曲线上具有非Hlder系数的Riemann边值问题,利用文中构造的超复积分算子,获得了问题的一般解及可解的充分必要条件.

Abstract:

The Riemann boundary value problems with non -Hêlder coefficent for hypernalytic function in the rectifiable Jordan closed curve are considered. By using hyper -complex integral operator, an explicit form of the general solution of the Riemann problem is established, necessary and sufficient conditions for the solvability $f the above problem are gotten.