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Derivation of weighted Laguerre polynomials

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#derivatives #orthogonal-polynomials
301
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Derivatives of Gaussian functions are orthogonal using the inverse of the Gaussian function as the weight function, is that a coincidence?

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#orthogonal-polynomials #gaussian-integral
156
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Why is the sign of terms in orthogonal polynomials always alternating?

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#polynomials #orthogonal-polynomials
471
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First kind Chebyshev polynomial to Monomials

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#real-analysis #orthogonal-polynomials #chebyshev-polynomials
41
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chebyshev expansion

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#real-analysis #power-series #orthogonal-polynomials #chebyshev-polynomials
329
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Approximation of multivariate functions by a polynomial

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#reference-request #approximation-theory #orthogonal-polynomials #multivalued-functions
73
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pseudospectral two time scales

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#dynamical-systems #spectral-theory #orthogonal-polynomials #optimal-control
88
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How to express a polynomial as a point in a given basis.

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#polynomials #orthogonality #orthogonal-polynomials #change-of-basis
68
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Existence of $f \in C(\mathbb{R}_+, \mathbb{R})$ that makes all polynomials vanish under integration

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#real-analysis #integration #proof-verification #orthogonal-polynomials
89
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How to orthogonalize polynomials?

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#integration #orthogonal-polynomials
535
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Why the expansion of functions of 2 variables in legendre polynomials does not take into account all products Pi (x) Pj (y)?

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#hilbert-spaces #fourier-series #orthogonal-polynomials #legendre-polynomials #legendre-symbol
218
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Solve the problem using Cauchy–Schwarz inequality

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#calculus #integration #orthogonal-polynomials
1.1k
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Hermite polynomials approximate of a function and its derivatives

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#real-analysis #approximation-theory #orthogonal-polynomials #hermite-polynomials
1.3k
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Integral involving Laguerre polynomials

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#integration #orthogonal-polynomials #gaussian-integral
249
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Proving orthogonality of a family of polynomials with respect to inner product

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#orthogonal-polynomials

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