Zero Distributions for Polynomials Orthogonal with Weights over Certain Planar Regions

Christoffel functions on curves and domains

“…There has been a recent burst of interest in this direction due partly to its relevance to planar region reconstruction ( [9], [7], [15], [19]), but asymptotics of Christoffel functions on the boundary of the region have not been known or investigated except for the paper [10], where lower and upper bounds were given for them. The method that we shall use also gives asymptotics for Christoffel functions with respect to area-like measures.…”

Universality Type Limits for Bergman Orthogonal Polynomials

“…1 There is a well developed theory of Bergman polynomials -their basic properties, and the asymptotic behavior, including that of their zeros [6], [7], [8], [12], [18], [19], [23]. In describing these, the conformal map of the exterior of , namely D = Cn G onto the exterior of the unit ball plays a key role.…”

Zeros of optimal polynomial approximants: Jacobi matrices and Jentzsch-type theorems

“…(ii) Theorems 6.1 and 6.2 are similar in spirit to Theorem 2.1 of [23], in which the authors considered the behavior of zeros of orthogonal polynomials in weighted Bergman spaces. We are concerned here with the behavior of zeros of optimal polynomial approximants and associated polynomial reproducing kernels.…”