POLYANALYTIC EQUATIONS IN DOMAINS FORMED BY THE INTERSECTION OF THREE CIRCLES

Bahriye Karaca

doi:10.47087/mjm.1791862

POLYANALYTIC EQUATIONS IN DOMAINS FORMED BY THE INTERSECTION OF THREE CIRCLES

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.

Keywords

References

I. N. Vekua, Generalized analytic functions, Pergamon Press, Oxford; (1962).
H. Begehr, Complex analytic methods for partial di erential equations, An introductory text, World Scientific, Singapore; (1994).
H. Begehr and G.N. Hile, A hierarchy of integral operators, Rocky Mountain J. Math. 27 (1997) 669-706.
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.
A. Darya, and N. Taghizadeh, Schwarz and Dirichlet problems for\bar{\partial}-equation in a triangular domain, Russian Mathematics. 68 (11) (2024) 9-17.
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.
B. Karaca, Boundary value problems for bi-polyanalytic functions on the upper half plane, Complex Variables and Elliptic Equations, 70(8) (2025) 1309-1320.
B. Karaca, Extensions of the Schwarz Problem for the Beltrami operator in the half unit disc, Journal of Mathematical Sciences, 289 (2025) 683-689.

Details

Primary Language

English

Subjects

Mathematical Methods and Special Functions

Journal Section

Research Article

Authors

Bahriye Karaca ^*
0000-0003-4463-8180
Türkiye

Early Pub Date

October 29, 2025

Publication Date

October 30, 2025

Submission Date

September 26, 2025

Acceptance Date

October 29, 2025

Published in Issue

Year 2025 Volume: 7 Number: 2

DOI

https://doi.org/10.47087/mjm.1791862

IZ

https://izlik.org/JA52GN95XU

Cite

RIS / Bibtex

APA

Karaca, B. (2025). POLYANALYTIC EQUATIONS IN DOMAINS FORMED BY THE INTERSECTION OF THREE CIRCLES. Maltepe Journal of Mathematics, 7(2), 63-72. https://doi.org/10.47087/mjm.1791862

AMA

1.Karaca B. POLYANALYTIC EQUATIONS IN DOMAINS FORMED BY THE INTERSECTION OF THREE CIRCLES. Maltepe Journal of Mathematics. 2025;7(2):63-72. doi:10.47087/mjm.1791862

Chicago

Karaca, Bahriye. 2025. “POLYANALYTIC EQUATIONS IN DOMAINS FORMED BY THE INTERSECTION OF THREE CIRCLES”. Maltepe Journal of Mathematics 7 (2): 63-72. https://doi.org/10.47087/mjm.1791862.

EndNote

Karaca B (October 1, 2025) POLYANALYTIC EQUATIONS IN DOMAINS FORMED BY THE INTERSECTION OF THREE CIRCLES. Maltepe Journal of Mathematics 7 2 63–72.

IEEE

[1]B. Karaca, “POLYANALYTIC EQUATIONS IN DOMAINS FORMED BY THE INTERSECTION OF THREE CIRCLES”, Maltepe Journal of Mathematics, vol. 7, no. 2, pp. 63–72, Oct. 2025, doi: 10.47087/mjm.1791862.

ISNAD

Karaca, Bahriye. “POLYANALYTIC EQUATIONS IN DOMAINS FORMED BY THE INTERSECTION OF THREE CIRCLES”. Maltepe Journal of Mathematics 7/2 (October 1, 2025): 63-72. https://doi.org/10.47087/mjm.1791862.

JAMA

1.Karaca B. POLYANALYTIC EQUATIONS IN DOMAINS FORMED BY THE INTERSECTION OF THREE CIRCLES. Maltepe Journal of Mathematics. 2025;7:63–72.

MLA

Karaca, Bahriye. “POLYANALYTIC EQUATIONS IN DOMAINS FORMED BY THE INTERSECTION OF THREE CIRCLES”. Maltepe Journal of Mathematics, vol. 7, no. 2, Oct. 2025, pp. 63-72, doi:10.47087/mjm.1791862.

Vancouver

1.Bahriye Karaca. POLYANALYTIC EQUATIONS IN DOMAINS FORMED BY THE INTERSECTION OF THREE CIRCLES. Maltepe Journal of Mathematics. 2025 Oct. 1;7(2):63-72. doi:10.47087/mjm.1791862