Non-Hermitian Orthogonal Polynomials on a Trefoil
نویسندگان
چکیده
We investigate asymptotic behavior of polynomials $$ Q_n(z) satisfying non-Hermitian orthogonality relations $$\begin{aligned} \int _\Delta s^kQ_n(s)\rho (s)\textrm{d}s =0, \quad k\in \{0,\ldots ,n-1\}, \end{aligned}$$ where \Delta is a Chebotarëv (minimal capacity) contour connecting three non-collinear points and \rho (s) Jacobi-type weight including possible power-type singularity at the center .
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ژورنال
عنوان ژورنال: Constructive Approximation
سال: 2023
ISSN: ['0176-4276', '1432-0940']
DOI: https://doi.org/10.1007/s00365-023-09640-6