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Finding coefficients of Legendre Polynomials

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#polynomials #approximation #least-squares #orthogonal-polynomials #legendre-polynomials
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Prove a recurrence formula of Legendre Polynomials

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#recurrence-relations #legendre-polynomials
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Shifted Legendre Polynomial

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#legendre-polynomials
390
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Integral inequality involving the derivative

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#inequality #integral-inequality #legendre-polynomials #functional-inequalities
469
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Minimal orthogonal projections, and distances in Hilbert spaces.

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#functional-analysis #hilbert-spaces #legendre-polynomials #complete-spaces
302
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Solving Legendre Equations with Frobenius

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#legendre-polynomials #frobenius-method
327
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Second order ODE bessel function?

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#calculus #ordinary-differential-equations #bessel-functions #heat-equation #legendre-polynomials
94
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I have different formulas for Legendre polynomials

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#calculus #numerical-methods #legendre-polynomials #analytic-functions
3.5k
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Properties of the gradient of spherical harmonics

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#special-functions #vector-analysis #legendre-polynomials #spherical-harmonics
65
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Series representation of the associated Legendre polynomial

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#sequences-and-series #legendre-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
201
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Legendre polynomial as basis for finite element method

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#legendre-polynomials #finite-element-method #poissons-equation
87
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Can order of summation and integral be interchanged in : $\int_{-1}^1 ( \sum_{n=0}^\infty P_n(\xi)P_n(\xi^\prime)Q_l(\xi^\prime))\text{d}\xi^\prime$?

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#real-analysis #integration #sequences-and-series #legendre-polynomials #elliptic-integrals
165
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Averaged value of product of Legendre Polynomials

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#generating-functions #legendre-polynomials
68
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Answer Check: Best Approximation of $(x+1)e^{-x}$ using Legendre Polynomials

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#approximation-theory #legendre-polynomials #gram-schmidt

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