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math.CV2022
Point Source Equilibrium Problems with Connections to Weighted Quadrature Domains
Peter D. Dragnev, Alan R. Legg, Edward B. Saff
We explore the connection between supports of equilibrium measures and quadrature identities, especially in the case of point sources added to the external field wi…
math.CV2019★ 1 cited
Logarithmic Equilibrium on the Sphere in the Presence of Multiple Point Charges
A. R. Legg, P. D. Dragnev
With the sphere as a conductor holding a unit charge with logarithmic interactions, we consider the problem of determining the support of the eq…
math.CV2012★ 1 cited
Asymptotics of Carleman polynomials for level curves of the inverse of a shifted Zhukovsky transformation
Peter Dragnev, Erwin Miña-Díaz, Michael Northington
This paper complements the recent investigation of \cite{DM} on the asymptotic behavior of polynomials orthogonal over the interior of an analytic Jordan curve . We study the sp…