On Bivariate Orthogonal Polynomials for Freud Weight Functions

Glalco S. Costa, Cleonice F. Bracciali, Teresa E. Pérez

Resumo


Orthogonal polynomials with respect to the weight function in one variable [...]

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Referências


S. Belmehdi e A. Ronveaux. _Laguerre-Freud's equations for the recurrence coe_cients of semi-classical orthogonal polynomials_. Em: Journal of Approximation Theory 76 (1994), pp. 351_368.

G. Freud. _On the coe_cients in the recursion formulae of orthogonal polynomials_. Em: Proceedings of the Royal Irish Academy. Section A: Mathematical and Physical Sciences 76 (1976), pp. 1_6. doi: 10.2307/20489026.

A. Magnus. _On Freud's equations for exponential weights_. Em: Journal of Approximation Theory 46 (1986), pp. 65_99. doi: 10.1016/0021-9045(86)90088-2.

W. Van Assche. Orthogonal Polynomials and Painlevé Equations. Cambridge University Press, 2018. isbn: 978-1-108-44194-0.


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