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Journals / Maltepe Journal of Mathematics / 2025 / Volume: 7 Issue: 2

POLYANALYTIC EQUATIONS IN DOMAINS FORMED BY THE INTERSECTION OF THREE CIRCLES

Bahriye Karaca(İZMİR BAKIRÇAY ÜNİVERSİTESİ)0000-0003-4463-8180
Pages
—
Publication Date
2025-10-30
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

We introduce a family of higher-order Pompeiu-type integral operators that provide explicit solutions to the problem.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we study the Schwarz boundary value problem for inhomogeneous polyanalytic equations in a triangular domain in the complex plane defined by intersections of three circles.
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Key Findings & Data:In this paper, we study the Schwarz boundary value problem for inhomogeneous polyanalytic equations in a triangular domain in the complex plane defined by intersections of three circles.
💡
Conclusion & Impact:We introduce a family of higher-order Pompeiu-type integral operators that provide explicit solutions to the problem.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:triangular domain · schwarz problem · linear equation

Abstract

In this paper, we study the Schwarz boundary value problem for inhomogeneous polyanalytic equations in a triangular domain in the complex plane defined by intersections of three circles. We introduce a family of higher-order Pompeiu-type integral operators that provide explicit solutions to the problem.

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Cite This Article

Karaca, B. (2025). POLYANALYTIC EQUATIONS IN DOMAINS FORMED BY THE INTERSECTION OF THREE CIRCLES. Maltepe Journal of Mathematics, Volume: 7 Issue: 2. https://doi.org/10.47087/mjm.1791862

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