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- W4309132337 abstract "We construct bivariate orthogonal polynomials (OPs) on algebraic curves of the form $y^m = phi(x)$ in $mathbb{R}^2$ where $m = 1, 2$ and $phi$ is a polynomial of arbitrary degree $d$, in terms of univariate semiclassical OPs. We compute connection coeffeicients that relate the bivariate OPs to a polynomial basis that is itself orthogonal and whose span contains the OPs as a subspace. The connection matrix is shown to be banded and the connection coefficients and Jacobi matrices for OPs of degree $0, ldots, N$ are computed via the Lanczos algorithm in $O(Nd^4)$ operations." @default.
- W4309132337 created "2022-11-23" @default.
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- W4309132337 date "2022-11-13" @default.
- W4309132337 modified "2023-10-14" @default.
- W4309132337 title "Orthogonal polynomials on a class of planar algebraic curves" @default.
- W4309132337 doi "https://doi.org/10.48550/arxiv.2211.06999" @default.
- W4309132337 hasPublicationYear "2022" @default.
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