Chinese Quarterly Journal of Mathematics ›› 2005, Vol. 20 ›› Issue (3): 238-241.

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The Extended Problems of Solution for Cauchy-Riemann Equation

  

  1. School of Mathematics and Information Science, Shandong Institute of Business and Technology, Yantai 264005, China; Department of Mathematics, Zhengzhou Teacher's College, Zhengzhou450044, China
  • Received:2002-03-12 Online:2005-09-30 Published:2024-01-11
  • About author:MA Zhong-tai(1955-),male,native of Weifang,Shandong,a professor of Shandong Institute of Business and Technology,engages in partial differential(complex)equations.
  • Supported by:
    Supported by the EDSF of Shandong Province(J04A11);

Abstract: This paper, we discuss the solutions’ characterize of Cauchy-Riemann equation and the extension phenomenon of Hartogs in Cn and, a series of new extended results of the solutions for Cauchy-Riemann equations is obtained by using the latest developments of the solutions’ extension. Furthermore, the case of the extension’s limitation for the solutions is also given.

Key words: Cauchy-Riemann , equation;solution's extension;Hartogs extension phenom-
enon

CLC Number: