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arXiv 2015-05-25 0 views

An Orthogonality Property of the Legendre Polynomials

Bos, Len · Narayan, Akil · Levenberg, Norm · Piazzon, Federico

Original · EN

We give a remarkable additional orthogonality property of the classical Legendre polynomials on the real interval [-1,1]: polynomials up to degree n from this family are mutually orthogonal under the arcsine measure weighted by the degree-n normalized Christoffel function.

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