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Legendre Polynomials and least square approximation.

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#linear-algebra #orthogonal-polynomials
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gaussian quadrature weight function x

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#integration #numerical-methods #orthogonal-polynomials
320
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Laguerre polynomials

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#complex-analysis #asymptotics #generating-functions #orthogonal-polynomials
53
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Integral of a product of othogonal polynomials over the domain

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#calculus #improper-integrals #indefinite-integrals #orthogonal-polynomials
80
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How to integrate products of Legendre functions over the interval [0,1]

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#definite-integrals #orthogonal-polynomials #legendre-polynomials #legendre-functions
79
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An improper integral involving a Gaussian and Hermite polynomials.

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#improper-integrals #bessel-functions #orthogonal-polynomials
36
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How can one construct polynomial bases for positional estimation?

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#soft-question #fourier-analysis #orthogonal-polynomials #image-processing
74
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Gegenbauer Polynomial Result

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#polynomials #orthogonal-polynomials
216
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Three-term recurrences in Orthogonal polynomials

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#real-analysis #recurrence-relations #orthogonal-polynomials
218
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Given a polynomial, can we construct an orthogonal sequence?

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#polynomials #orthogonal-polynomials
78
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Generating function of orthogonal polynomial basis

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#functional-analysis #orthogonal-polynomials #legendre-polynomials #hermite-polynomials
313
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A stereographic projection for the Chebyshev polynomials

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#orthogonal-polynomials #chebyshev-polynomials #stereographic-projections
51
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Show that $K(u)=\sum_{k=0}^r P_k(0) P_k(u) \mathbf{1}_{\{|u| \leq 1\}}$ is a kernel of order $r$

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#hilbert-spaces #order-statistics #orthogonal-polynomials #legendre-polynomials #reproducing-kernel-hilbert-spaces
49
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$x \cdot F_n$ is a linear combination of $\{ F_{n−1}, F_n, F_{n+1} \}$ for every positive integer $n$.

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#linear-algebra #orthogonal-polynomials #gram-schmidt
58
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Vanishing integral on $(-c,c)$

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#real-analysis #integration #definite-integrals #orthogonal-polynomials

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