Schwarz Boundary Value Problems for Polyanalytic Equation in a Sector Ring

نویسندگان

چکیده

In this article, we first give a modified Schwarz–Pompeiu formula in general sector ring with angle \(\vartheta =\frac{\pi }{\alpha },\ \alpha \ge 1/2\) by proper conformal mappings, and obtain the solution of Schwarz problem for Cauchy–Riemann equation explicit forms. Furthermore, construct some integral operators discuss their properties detail. Finally, virtue these operators, problems an inhomogeneous polyanalytic generalized are investigated, respectively.

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ژورنال

عنوان ژورنال: Complex Analysis and Operator Theory

سال: 2023

ISSN: ['1661-8254', '1661-8262']

DOI: https://doi.org/10.1007/s11785-023-01329-9