Integral Representation of Solutions of a Generalized Cauchy–Riemann Equation with Singular Points in Unbounded Domains

For a generalized Cauchy–Riemann equation on the plane with a coefficient that has finitely many singular points and with a continuous free term, we find an integral representation of the solution in the class of functions bounded at infinity.

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Bibliographische Detailangaben
Veröffentlicht in:	Differential equations 2020-08, Vol.56 (8), p.1105-1107
Hauptverfasser:	Mukhsinova, S. M., Rasulov, A. B.
Format:	Artikel
Sprache:	eng
Schlagworte:	Difference and Functional Equations Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations Short Communications
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	For a generalized Cauchy–Riemann equation on the plane with a coefficient that has finitely many singular points and with a continuous free term, we find an integral representation of the solution in the class of functions bounded at infinity.
ISSN:	0012-2661 1608-3083
DOI:	10.1134/S0012266120080121