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Approximate roots of Jacobi Polynomials

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#numerical-methods #roots #approximation #orthogonal-polynomials
2k
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Least Squares Approximation with inner products

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#inner-products #least-squares #orthogonal-polynomials
274
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What is a test function and why do we need them?

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#numerical-methods #orthogonal-polynomials #finite-element-method #galerkin-methods
744
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Hermite polynomials for negative integers

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#ordinary-differential-equations #orthogonal-polynomials #eigenfunctions #error-function #hermite-polynomials
228
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How to calculate the mean and the variance for the function with Multidimensional Polynomial Chaos Approach?

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#tensor-products #uniform-distribution #orthogonal-polynomials #legendre-polynomials #quadrature
112
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Norm for an operator related to the Christoffel-Darboux kernel

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#normed-spaces #approximation-theory #orthogonal-polynomials
6.2k
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Showing orthogonality of Legendre polynomials using Rodrigues' formula

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#integration #special-functions #orthogonal-polynomials #legendre-polynomials
256
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Change of Basis and coordinate vector for polynomial spaces.

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#linear-algebra #polynomials #linear-transformations #orthogonal-polynomials
183
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Integrating the product of two Laguerre polynomials using their generating function?

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#integration #probability-distributions #generating-functions #quantum-mechanics #orthogonal-polynomials
68
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A difficult integral involving Hermite functions.

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#definite-integrals #orthogonal-polynomials #hermite-polynomials
2.5k
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How to show orthogonality of associated Laguerre polynomials?

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#integration #special-functions #orthogonality #orthogonal-polynomials
854
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Chebyshev polynomials over $C[-1,1]$ as an orthogonal system

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#inner-products #orthogonal-polynomials #chebyshev-polynomials
416
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Recursions for Legendre polynomials of the second kind on the interval [1, inf)

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#recursion #orthogonal-polynomials #legendre-polynomials
768
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Diagonalization and finding orthogonal projection operator

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#linear-algebra #eigenvalues-eigenvectors #inner-products #diagonalization #orthogonal-polynomials
135
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Hook-content polynomial

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#combinatorics #orthogonal-polynomials #symmetric-polynomials #symmetric-functions #young-tableaux

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