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

  • Long Gao,
  • Xiao-jing Du,
  • Yue Liu,
  • Yong-hong Xie

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.