Recurrence Relations for Orthogonal Polynomials and Algebraicity of Solutions of the Dirichlet Problem
نویسندگان
چکیده
We show that any finite-term recurrence relation for planar orthogonal polynomials in a domain imply that the domain must be an ellipse. Our proof relies on Schwarz function techniques and on elementary properties of functions in Sobolev spaces.
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تاریخ انتشار 2009