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Simple Identity for Derivative of Laguerre Polynomial

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#solution-verification #orthogonal-polynomials #laguerre-polynomials
149
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Recurrence relations for even orthogonal polynomials

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#recurrence-relations #moment-generating-functions #orthogonal-polynomials #moment-problem
775
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A continuous function on $[0,1]$ orthogonal to each monomial of the form $x^{n^2}$

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#sequences-and-series #orthogonal-polynomials #weierstrass-approximation
68
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Which polynomials/Fourier series satisfy this property?

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#polynomials #fourier-analysis #fourier-series #orthonormal #orthogonal-polynomials
50
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An example of a two-variate orthogonal polynomials

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#linear-algebra #polynomials #orthogonal-polynomials
37
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Applications of Jack polynomials

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#combinatorics #statistics #polynomials #symmetric-polynomials #orthogonal-polynomials
118
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Why orthogonal polynomial is orthogonal to all polynomials less degree?

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#calculus #polynomials #orthogonal-polynomials
63
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Is the Taylor series a generalized Fourier series?

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#real-analysis #calculus #sequences-and-series #functional-analysis #orthogonal-polynomials
234
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Uniqueness of the nodes for Gauss-Legendre quadrature

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#calculus #linear-algebra #numerical-methods #orthogonal-polynomials #legendre-polynomials
126
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Reference(book or article) for an explicit formula of Legendre polynomials

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#calculus #combinatorics #reference-request #orthogonal-polynomials #legendre-polynomials
182
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Sequence of largest roots of Hermite polynomials

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#polynomials #orthogonal-polynomials #hermite-polynomials
214
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inner products on polynomials

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#linear-algebra #functional-analysis #measure-theory #polynomials #orthogonal-polynomials
84
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Orthogonality of Chebyshev (Legendre) polynomials

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#orthogonal-polynomials
140
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How to prove Legendre Polynomials' recurrence relation without using explicit formula?

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#real-analysis #recurrence-relations #special-functions #orthogonal-polynomials #legendre-polynomials
74
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Could someone help prove some properties of Legendre Polynomials?

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#polynomials #special-functions #mathematical-physics #orthogonal-polynomials #legendre-polynomials

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