Integral representations of generalized axially symmetric potentials in a simply connected domain

• Date: 2009
• Main Authors: Gryshchuk, S. V., Plaksa, S. A., Грищук, С. В., Плакса, С. А.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2009
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3012
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We obtain integral representations of generalized axially symmetric potentials via analytic functions of a complex variable that are defined in an arbitrary simply connected bounded domain symmetric with respect to the real axis. We prove that these integral representations establish a one-to-one co...