1 citations · 1 across the 3 of their papers we have counts for
3 papers
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.CV2015
The Khavinson-Shapiro Conjecture for the Bergman Projection in One and Several Complex Variables
Alan R. Legg
We reveal a complex analogue to a result about polynomial solutions to the Dirichlet Problem on ellipsoids in by showing that the Bergman projection on any ellipsoid…