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Function expansion in a basis of associated Legendre polynomimals

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#functional-analysis #special-functions #orthogonal-polynomials #legendre-polynomials
199
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Showing a summation identity for $1$, possibly tied to Legendre polynomials

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#integration #sequences-and-series #fourier-series #legendre-polynomials #legendre-functions
459
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Convergence of Legendre Expansion in the Mean-Square sense.

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#real-analysis #fourier-analysis #legendre-polynomials
247
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Legendre Polynomial Termination

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#ordinary-differential-equations #harmonic-functions #legendre-polynomials
1.2k
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Why is the Gaussian-Legendre Quadrature so effective?

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#numerical-methods #legendre-polynomials #gaussian #approximate-integration #quadrature
422
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Legendre Polynomials proving a relation using Rodrigue's Formula

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#ordinary-differential-equations #differential #legendre-polynomials #legendre-functions
198
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Fourier-Legendre series - Need answers for all 5 question marks

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#fourier-series #absolute-value #legendre-polynomials
119
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Legendre differential operator

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#sequences-and-series #power-series #differential-operators #legendre-polynomials
333
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Summation $\sum_{n=0}^{\infty} \frac{P_n(\cos \theta)}{n+1} = \log\frac{\sin(\theta/2) +1}{\sin(\theta/2)}$

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#integration #derivatives #legendre-polynomials
2.5k
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Parity of spherical harmonics

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#special-functions #mathematical-physics #legendre-polynomials #spherical-harmonics #parity
299
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Orthogonality of Legendre polynomials using specific properties

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#integration #partial-differential-equations #orthogonality #recursive-algorithms #legendre-polynomials
54
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Legendre polynomials n=1 calculation by hand

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#calculus #definite-integrals #legendre-polynomials
1.6k
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Legendre operator's eigenvalues and eigenfunctions

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#eigenvalues-eigenvectors #legendre-polynomials #differential-operators #sturm-liouville
636
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Integral of product of first derivatives of Legendre polynomials

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#integration #definite-integrals #legendre-polynomials
159
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An asymptotic about Integral of Legendre Polynomials

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#asymptotics #special-functions #legendre-polynomials

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