The Riemann Problem in a Half-Plane for Generalized Analytic Functions with a Supersingular Point on the Contour of the Boundary Condition

IF 0.5 Q3 MATHEMATICS

Russian Mathematics Pub Date : 2024-02-19 DOI:10.3103/s1066369x23110075

P. L. Shabalin

引用次数: 0

Abstract

In this paper, we study an inhomogeneous Riemann boundary value problem with a finite index and a boundary condition on the real axis for a generalized Cauchy–Riemann equation with supersingular coefficients. To solve the problem, it was necessary to derive a structural formula for the general solution to this equation and to investigate the solvability of the Riemann boundary value problem of the theory of analytic functions with an infinite index due to the power-order vorticity point.

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边界条件轮廓上有超星点的广义解析函数的半平面黎曼问题

摘要在本文中，我们研究了一个具有有限指数和实轴上边界条件的非均质黎曼边界值问题，该问题是一个具有超星系数的广义考奇-黎曼方程。为了解决这个问题，有必要推导出该方程通解的结构式，并研究解析函数理论中由于幂阶涡旋点导致的具有无限指数的黎曼边界值问题的可解性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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