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Filter integrals for orthogonal polynomials
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.
https://hal.archives-ouvertes.fr/hal-03498218
Contributor : Srinivas Kotyada Connect in order to contact the contributor
Submitted on : Monday, December 20, 2021 - 10:30:24 PM
Last modification on : Monday, March 28, 2022 - 8:14:08 AM
Contributor : Srinivas Kotyada Connect in order to contact the contributor
Submitted on : Monday, December 20, 2021 - 10:30:24 PM
Last modification on : Monday, March 28, 2022 - 8:14:08 AM
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