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arXiv · 2012.05040

Filter integrals for orthogonal polynomials

Tewodros Amdeberhan·Adriana Duncan·Victor H. Moll·Vaishavi Sharma
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Abstract

Motivated by an expression by Persson and Strang on an integral involving Legendre polynomials, stating that the square of $P_{2n+1}(x)/x$ integrated over $[-1,1]$ is always $2$, we present analog results for Hermite, Chebyshev, Laguerre and Gegenbauer polynomials as well as the original Legendre polynomial with even index.

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Tewodros Amdeberhan, Adriana Duncan, Victor H. Moll, Vaishavi Sharma. 2020-12-09. Filter integrals for orthogonal polynomials. https://arxiv.org/abs/2012.05040

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