#### Computational Orthogonal Polynomials

Orthogonal polynomials can be used to accurately and efficiently approximate functions.

They further enable the construction of spectral methods for solving integral and differential equations as well as quadrature methods.*Polynomial and rational measure modifications of orthogonal polynomials via infinite-dimensional banded matrix factorizations*

T. S. Gutleb, S. Olver, R. M. Slevinsky. arXiv