Point Source Equilibrium Problems with Connections to Weighted Quadrature Domains

Autor:	Dragnev, Peter D., Legg, Alan R., Saff, Edward B.
Rok vydání:	2022
Předmět:	Mathematics - Complex Variables Mathematical Physics Mathematics - Classical Analysis and ODEs 31A05 31A10 31A15
Druh dokumentu:	Working Paper
Popis:	We explore the connection between supports of equilibrium measures and quadrature identities, especially in the case of point sources added to the external field $Q(z)=|z|^{2p}$ with $p \in \mathbb{N}$. Along the way, we describe some quadrature domains with respect to weighted area measure $|z|^{2p}dA_z$ and complex boundary measure $|z|^{-2p}dz$. Comment: 21 Pages, 4 Figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2203.09421 Zobrazit plný text záznamu View this record from Arxiv