Boundary-value problems for the Helmholts equation in domains of the complex plane

• Date: 2016
• Main Authors: Sukhorolskyi, M. A., Сухорольський, М. А.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2016
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1844
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

By using the conformal mappings of plane with elliptic hole and a plane with cross-shaped hole into the outside of the circle, we construct systems of functions playing the role of bases in the spaces of the functions analytic in these domains. The Faber polynomials are biorthogonal with the basis f...