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Spectral convergence for collocation methods

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#partial-differential-equations #spectral-theory #orthogonal-polynomials
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Gram-Schmidt procedure on functions

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#vector-spaces #vectors #vector-analysis #orthogonality #orthogonal-polynomials
258
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Integral of Legendre polynomials

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#definite-integrals #orthogonal-polynomials #legendre-polynomials
148
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An identity involving the Chebyshev polynomials

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#real-analysis #trigonometry #orthogonal-polynomials
112
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Linear span of poisson kernels dense in $L^1(\mathbb{T})$

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#fourier-analysis #harmonic-functions #orthogonal-polynomials
733
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show that nth Chebyshev polynomial is an nth order polynomial

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#polar-coordinates #orthogonal-polynomials #approximation-theory #chebyshev-polynomials
61
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A cheap error estimate and a costly doubt

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#polynomials #orthogonal-polynomials #chebyshev-polynomials
56
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Othonormal basis for $L^2$ space on square

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#real-analysis #orthogonal-polynomials
528
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Why are the Hermite Polynomials important?

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#polynomials #orthogonal-polynomials
1.9k
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Integrating Associated Legendre Polynomials

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#integration #special-functions #mathematical-physics #orthogonal-polynomials #legendre-polynomials
99
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Orthogonal polynomials

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#calculus #orthogonal-polynomials
366
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Laguerre theorem

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#ordinary-differential-equations #polynomials #roots #orthogonal-polynomials
1.6k
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Why are quadrature points given by the zeros of orthogonal polynomials?

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#numerical-methods #orthogonal-polynomials
297
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Estimation of the Hermite Polynomials using Plancherel-Rotach asymptotics

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#real-analysis #probability-theory #orthogonal-polynomials
140
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Approximation of Hermite functions

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#calculus #real-analysis #limits #asymptotics #orthogonal-polynomials

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