On the orthogonal polynomials with weight having singularities on the boundary of regions in the complex plane
F. G. Abdullayev and U. Değer
Source: Bull. Belg. Math. Soc. Simon Stevin Volume 16, Number 2 (2009), 235-250.
Abstract
The order of the weight of orthogonal polynomials is analyzed, when this weight function shows singularities on the boundary of a region in the complex plane.
Primary Subjects: 30A10, 30C10
Secondary Subjects: 41A17
Keywords: Orthogonal polynomials; Weight function; Quasicircle; Conformal mapping; Quasiconformal mapping
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Bulletin of the Belgian Mathematical Society - Simon Stevin