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Why is the Legendre polynomials eigenfunctions to this operator?

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#eigenvalues-eigenvectors #operator-theory #legendre-polynomials
309
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Legendre polynomials satisfying a recurrence relation.

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#numerical-methods #recurrence-relations #legendre-polynomials #numerical-calculus
93
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Series of Legendre Polynomials and Harmonic numbers. $\sum_{n=1}^{\infty} P_n (z) \frac{H(n)}{n+k}$

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#sequences-and-series #legendre-polynomials #legendre-functions
120
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Legendre polynomial expansion

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#calculus #sequences-and-series #generating-functions #recursive-algorithms #legendre-polynomials
196
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Legendre polynomial integration, basic

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#legendre-polynomials
38
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Integrate Jacobi polynomials $w_{a+\epsilon,b}(x)P^{a,b}_k(x)P^{a,b}_l(x)$ with slightly modified weight

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#integration #special-functions #orthogonal-polynomials #legendre-polynomials
308
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Legendre polynomials and inner product

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#inner-products #legendre-polynomials
153
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Integral of product of Legendre polynomial $P_n(x)$ and shifted Legendre polynomial $\widetilde{P}_m(x)$

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#calculus #integration #legendre-polynomials
1.4k
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How to prove generating function of legendre polynomials? What am I doing wrong?

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#special-functions #generating-functions #orthogonal-polynomials #legendre-polynomials
104
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Finding the Legendre Polynomial formula from the Legendre equation

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#special-functions #legendre-polynomials #legendre-functions
84
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Determining whether a singular endpoint is of limit-circle or limit-point case.

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#integration #functional-analysis #ordinary-differential-equations #lp-spaces #legendre-polynomials
202
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Series involving product of Legendre polynomials

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#sequences-and-series #functional-analysis #analysis #legendre-polynomials #legendre-functions
98
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summation of Legendre polynomials over a power law

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#sequences-and-series #summation #legendre-polynomials
166
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Expanding function on [0,1] using Legendre polynomials

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#fourier-series #legendre-polynomials
104
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Re-arranging and integrating a Generating Function of Legendre Polynomials

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#integration #generating-functions #legendre-polynomials

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