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<p>We consider the Schwarz boundary value problem for the inhomogeneous polyanalytic equation in a lens.First, we introduce the poly-Schwarz and the T-type operators for a lens domainand then study the boundary behavior of these operators.Moreover, we discuss the solvability conditions andprovide an explicit solution to the Schwarz problem forthe inhomogeneous polyanalytic equation in the lens domain.</p>

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Schwarz Boundary Value Problem for the Polyanalytic Equation in a Lens

  • 期刊论文

  • 发表日期：

    2025年3月23日

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  • A. Darya,
  • N. Taghizadeh

摘要

We consider the Schwarz boundary value problem for the inhomogeneous polyanalytic equation in a lens.First, we introduce the poly-Schwarz and the T-type operators for a lens domainand then study the boundary behavior of these operators.Moreover, we discuss the solvability conditions andprovide an explicit solution to the Schwarz problem forthe inhomogeneous polyanalytic equation in the lens domain.