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Evaluating $\int_{-1}^{1} x P_{n}(x) P_{m}(x) dx$

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#integration #definite-integrals #legendre-polynomials #kronecker-delta
61
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2n-th derivation of Legendre Polynomial

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#derivatives #binomial-theorem #legendre-polynomials
190
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How are these equivalent representations of an ellipse?

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#conic-sections #legendre-polynomials
87
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An ordinary differential equation equal to an infinite sum of legendre polynomials

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#sequences-and-series #ordinary-differential-equations #power-series #legendre-polynomials
563
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differentiating the generating function of the Legendre equation

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#sequences-and-series #ordinary-differential-equations #power-series #generating-functions #legendre-polynomials
56
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Solving an inequality containing Legendre polynomials

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#linear-algebra #functional-analysis #numerical-linear-algebra #legendre-polynomials
734
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Can we express the integral of the nth derivative of this function analytically?

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#integration #approximation-theory #legendre-polynomials
64
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verification of my solution to $((1-x^2)y')'=\sum_{n=1}\tfrac{P_n(x)}{2^n}$ and possibly suggestions on how to solve the resulting integral

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#integration #ordinary-differential-equations #legendre-polynomials
485
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Series Legendre Polynomial

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#polynomials #legendre-polynomials #legendre-functions
135
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proof (Legendre polynomial )

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#sequences-and-series #ordinary-differential-equations #legendre-polynomials
278
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Orthogonality of Legendre polynomials with logarithmic functions

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#integration #orthogonality #legendre-polynomials
1.1k
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Legendre's Equation, sturm liouville - eigenvalues/eigenfunction

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#eigenfunctions #legendre-polynomials #sturm-liouville
377
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Find the Legendre polynomial

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#numerical-methods #legendre-polynomials
699
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Use Rodrigues’formula to generate the Legendre Polynomials

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#summation #legendre-polynomials
351
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Integrating multiple products of order 1 Legendre functions

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#integration #legendre-polynomials #legendre-functions

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