Schwarz boundary problem on a triangle

نویسندگان

  • Fatemeh Joveini Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran
  • Mozhgan Akbari Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran
چکیده مقاله:

In this paper, the Schwarz boundary value problem (BVP) for the inhomogeneous Cauchy-Riemann equation in a triangle is investigated explicitly. Firstly, by the technique of parquetingreflection and the Cauchy-Pompeiu representation formula a modified Cauchy-Schwarz representation formula is obtained. Then, the solution of the Schwarz BVP is explicitly solved. In particular, the boundary behaviors at the corner points are considered.

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عنوان ژورنال

دوره 9  شماره 2

صفحات  266- 283

تاریخ انتشار 2020-09-01

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