Schwarz problem for higher-order equations in a rectangle

Complex Variables and Elliptic Equations 2026

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Authors: Pelin Ayşe Gökgöz
DOI: 10.1080/17476933.2025.2611268
Cited by: 0
References: 17

Abstract

In this article, we discuss the solutions of Schwarz problem in a rectangle. First, we introduce the solutions of an inhomogeneous Cauchy-Riemann equation. Then, we investigate the properties of higher-order operators. Finally, we extend the discussion to a higher-order Cauchy-Riemann equation and a higher-order linear equation.

Fields of Study & Subjects

Algebraic and Geometric Analysis Holomorphic and Operator Theory Analytic and geometric function theory

Publication details

Journal / source
Complex Variables and Elliptic Equations
Volume
71
Issue
9
Pages
1771–1794
Publication date
6 January 2026
Language
EN