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Dergiler / 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
Sayfa
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Yayın Tarihi
2025-10-30
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

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Amaç & Hipotez: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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Temel Bulgular & Veri: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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Sonuç & Katkı:We introduce a family of higher-order Pompeiu-type integral operators that provide explicit solutions to the problem.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler: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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Bu Makaleye Atıf Yap

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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Kaynakça (14)

  1. I. N. Vekua, Generalized analytic functions, Pergamon Press, Oxford; (1962).
  2. H. Begehr, Complex analytic methods for partial di erential equations, An introductory text, World Scientific, Singapore; (1994).
  3. H. Begehr and G.N. Hile, A hierarchy of integral operators, Rocky Mountain J. Math. 27 (1997) 669-706.
  4. S.H.Kang and,J.Y. Kim, Toeplitz operators on weighted analytic Bergman spaces of the halfplane, Bull.Korean Math. Soc. 37 (2000) 437-450.
  5. A. Darya, and N. Taghizadeh, Schwarz and Dirichlet problems for\bar{\partial}-equation in a triangular domain, Russian Mathematics. 68 (11) (2024) 9-17.
  6. Y. Wang, Schwarz-type boundary value problems for the polyanalytic equation in the half unit disc, Complex Variables and Elliptic Equations, 57(9) (2012) 983-993.
  7. B. Karaca, Boundary value problems for bi-polyanalytic functions on the upper half plane, Complex Variables and Elliptic Equations, 70(8) (2025) 1309-1320.
  8. B. Karaca, Extensions of the Schwarz Problem for the Beltrami operator in the half unit disc, Journal of Mathematical Sciences, 289 (2025) 683-689.
  9. B. Karaca, Schwarz problem for model partial di erential equations with one complex variable, Sakarya University Journal of Science, 28 (2) (2024) 410-417.
  10. Ü. Aksoy, H. Begehr and A. O. Çelebi, AV Bitsadze's observation on bianalytic functions and the Schwarz problem revisited, Complex Variables and Elliptic Equations, 66(4) (2021) 583-585.
  11. İ. Gençtürk, Robin Boundary-Value Problem for the Beltrami Equation, Ukrainian Mathematical Journal, 75(4) (2023) 510-518.
  12. İ.Gençtürk, Neumann Boundary Value Problem for the Beltrami Equation in a Ring Domain, Turkish Journal of Mathematics, 47(5) (2023) 1573-1584.
  13. İ. Gençtürk, Y. R. Linares, A Robin Boundary Value Problem for the Cauchy- Riemann Operator in a Ring Domain, Georgian Mathematical Journal, 29(2) (2022) 205-209.
  14. B. Karaca, Boundary Value Problems for Inhomogeneous Polyanalytic Equations in a Triangle, Vladikavkaz Mathematical Journal, 25(4) (2025), to appear.