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<p>We consider the generalized Cauchy–Riemann equation in a rectangular domain a coefficient having first order singularity along the boundary. We obtain an integral representation of solutions and solve the Dirichlet problem.</p>

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Boundary Value Problems for Equation with the Cauchy–Riemann Operator Singular Along the Boundary of a Rectangular Domain

  • 期刊论文

  • 发表日期：

    2025年1月11日

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  • Abdurauf B. Rasulov,
  • Natalia V. Yakivchik

摘要

We consider the generalized Cauchy–Riemann equation in a rectangular domain a coefficient having first order singularity along the boundary. We obtain an integral representation of solutions and solve the Dirichlet problem.