Orthogonal Polynomials on Planar Cubic Curves

نویسندگان

چکیده

Abstract Orthogonal polynomials in two variables on cubic curves are considered. For an integral with respect to appropriate weight function defined a curve, explicit basis of orthogonal is constructed terms families one variable. We show that these can be used approximate functions and square root singularities, demonstrate their usage for solving differential equations singular solutions.

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ژورنال

عنوان ژورنال: Foundations of Computational Mathematics

سال: 2021

ISSN: ['1615-3383', '1615-3375']

DOI: https://doi.org/10.1007/s10208-021-09540-w