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Integrating odd Legendre polynomials using generating function

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#generating-functions #legendre-polynomials #even-and-odd-functions #legendre-functions
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How to express in Legendre's polynomials?

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#legendre-polynomials #legendre-functions
79
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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
360
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Derivation of an integral containing the complete elliptic integral of the first kind

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#integration #gamma-function #elliptic-integrals #mellin-transform #legendre-functions
93
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Integration of a square of Conical (Mehler) function

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#calculus #definite-integrals #special-functions #legendre-polynomials #legendre-functions
60
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Asymptotic expansion of Legendre functions at $x=-1$

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#real-analysis #sequences-and-series #asymptotics #special-functions #legendre-functions
31
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Establishing Recurrence Relation for Legendre Polynomials using Rodrigues' Formula

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#recurrence-relations #legendre-polynomials #legendre-functions
260
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Does this Fourier Legendre series inverting $\frac65\frac{x^x}{x+1}-\frac35$ diverge or it is a software issue past $\approx 25$ series terms?

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#convergence-divergence #fourier-series #graphing-functions #wolfram-alpha #legendre-functions
68
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Seeking the generating function of $\left( 1+\epsilon^2 - 2\epsilon x \right)^{-1}$

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#real-analysis #calculus #sequences-and-series #taylor-expansion #legendre-functions
45
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First derivative of the associated Legendre function at x=1

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#legendre-functions
21
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Integral of Squared Spherical Harmonics

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#legendre-polynomials #spherical-harmonics #legendre-functions
29
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Help with an integral involving associated Legendre functions?

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#integration #inner-products #spherical-harmonics #legendre-functions
30
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Legendre functions of the second kind with negative integer degree

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#ordinary-differential-equations #special-functions #legendre-functions
25
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$\sum_{n=0}^{\infty} c_{2n}$ and $\sum_{n=0}^{\infty} c_{2n+1}$ given $c_{n+2} = \frac{n(n+1)-\lambda}{(n+2)(n+1)}$

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#sequences-and-series #ordinary-differential-equations #power-series #legendre-functions
19
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Legendre functions at the end points

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#sequences-and-series #ordinary-differential-equations #power-series #legendre-functions

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