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Use the zeroes of T3 to construct an interpolating polynomial

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#numerical-methods #interpolation #orthogonal-polynomials #chebyshev-polynomials
51
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Checking a solution of differential equation

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#ordinary-differential-equations #orthogonal-polynomials
77
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Finding another solution in certain form (confluent hypergeometric series)

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#ordinary-differential-equations #orthogonal-polynomials #hypergeometric-function
87
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orthogonal polynomials and quadrature formulae

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#orthogonal-polynomials
8.3k
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Legendre polynomial expansion of the unit step function.

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#special-functions #dirac-delta #orthogonal-polynomials #legendre-polynomials
876
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Will this sequence of polynomials converge to a Hermite polynomial pointwise?

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#real-analysis #polynomials #orthogonal-polynomials
69
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not complete polynomial and roots

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#polynomials #orthogonal-polynomials
31.5k
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How does one prove Rodrigues' formula for Legendre Polynomials?

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#orthogonal-polynomials
931
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A sum of Laguerre polynomials

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#polynomials #summation #binomial-coefficients #orthogonal-polynomials
359
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Curious gamma identity

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#reference-request #special-functions #orthogonal-polynomials
438
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Proving that two functions involving integrals with Legendre polynomials are equal

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#complex-analysis #definite-integrals #fourier-analysis #special-functions #orthogonal-polynomials
136
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Proof that Qm(x) and Pn(x) have the same sign

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#orthogonal-polynomials #legendre-polynomials
1.8k
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Least squares approximation: Legendre polynomial

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#orthogonal-polynomials
316
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Asymptotics bound on Jacobi polynomials in the complex plane and for large $n$

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#reference-request #asymptotics #orthogonal-polynomials #legendre-polynomials
125
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Gaps between roots of trigonometric polynomials?

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#calculus #roots #orthogonal-polynomials

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