List questions from legendre-functions

Published on 05 Jul 2018 - 11:48

625

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Sum of associated Legendre functions

Published on 30 Jul 2018 - 18:23

41

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Equivalence of spherical harmonic definitions

Published on 19 Oct 2018 - 4:52

479

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Series Legendre Polynomial

Published on 14 Nov 2018 - 11:30

186

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An upper bound of the first eigenvalue of Laplacian on a Riemannian manifold.

Published on 03 Dec 2018 - 8:08

345

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Integrating multiple products of order 1 Legendre functions

Published on 08 Dec 2018 - 16:45

147

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Transforming an ODE into Legendre's Equation

Published on 15 Mar 2019 - 3:30

136

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How to convert a hypergeom function to the Legendre function?

Published on 07 Jun 2019 - 23:49

40

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find $a_L$ in $ \frac{Y_{\ell}^{m}Y_{\ell'}^{-m}}{\sin^2\theta}=\sum_{L=0}^{\ell+\ell'}a_LY_L^0$

Published on 09 Jul 2019 - 14:51

313

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derivative of normalized associated Legendre function at the limits of x = +/-1

Published on 25 Sep 2019 - 20:39

95

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Can't retrieve Legendre equation from Laplace equation

Published on 15 Nov 2019 - 21:53

173

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By changing the variable in the φ equation to x = cos φ, derive the self adjoint form of the Legendre equation

Published on 26 Nov 2019 - 15:25

580

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Convex envelope of a function

Published on 06 Jan 2020 - 10:13

353

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How to prove that Spherical Harmonics must have integer order $m$ and degree $n$?

Published on 20 Jan 2020 - 9:49

52

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Monotonicity of Legendre functions (of first kind) with respect to theirs order

Published on 27 Feb 2020 - 9:24

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Legendre Polynomial Of Second Kind

Sum of associated Legendre functions

Equivalence of spherical harmonic definitions

Series Legendre Polynomial

An upper bound of the first eigenvalue of Laplacian on a Riemannian manifold.

Integrating multiple products of order 1 Legendre functions

Transforming an ODE into Legendre's Equation

How to convert a hypergeom function to the Legendre function?

find $a_L$ in $ \frac{Y_{\ell}^{m}Y_{\ell'}^{-m}}{\sin^2\theta}=\sum_{L=0}^{\ell+\ell'}a_LY_L^0$

derivative of normalized associated Legendre function at the limits of x = +/-1

Can't retrieve Legendre equation from Laplace equation

By changing the variable in the φ equation to x = cos φ, derive the self adjoint form of the Legendre equation

Convex envelope of a function

How to prove that Spherical Harmonics must have integer order $m$ and degree $n$?

Monotonicity of Legendre functions (of first kind) with respect to theirs order

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