A property of the β-Cauchy-type integral with continuous density

The aim of this paper is to extend a theorem from classical complex analysis proved by Davydov in 1949 to the theory of solutions of a special case of the Beltrami equation in the z-complex plane (i.e., null solutions of the differential operator $\partial_{\overline{z}} - \beta \frac{z}{\overline{...

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Datum:2008
Hauptverfasser: Abreu, Blaya R., Bory, Reyes J., Абрей, Блая Р., Борі, Рейес Дж.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2008
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/3259
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal