List questions from legendre-polynomials

Published on 23 Feb 2026 - 13:30

188

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Trouble proving identity with Legendre polynomials

Published on 14 Jul 2019 - 14:20

810

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How to solve Legendre's differential equation without power series assumption?

Published on 22 Feb 2026 - 23:28

468

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Higher-order Derivatives of Legendre Polynomials at endpoints

Published on 25 Mar 2026 - 5:06

219

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Pointwise convergence of Fourier-Legendre Series expansion

Published on 05 Aug 2019 - 1:08

933

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Using Orthogonality of Legendre Polynomials to determine a Recurrence Relation

Published on 21 Aug 2019 - 8:21

111

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Show that Legendre polynomial satisfies $\int P_n(x)dx=\frac{1}{2^{n+1}}[P_{n+1}(x)-P_{n-1}(x)]$

Published on 24 Aug 2019 - 14:25

893

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Prove that the Legendre polynomial satisfies $\int_{-1}^1(1-x^2) P_m' P_n' dx=0$

Published on 30 Aug 2019 - 17:49

481

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Prove that Legendre polynomial satisfies $\int_{-1}^1 x P_n(x) P_m '(x) dx=0$

Published on 30 Aug 2019 - 19:10

331

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Integrate product of two spherical harmonics over half-sphere

Published on 16 Sep 2019 - 15:42

228

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Legendre Polynomial as an integral

Published on 20 Sep 2019 - 3:21

133

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Integrals with Legendre polynomials

Published on 24 Sep 2019 - 16:00

194

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Calculating Fourier expansion using Legendre Polynomials

Published on 30 Mar 2014 - 14:47

270

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Stuck on this Legendre polynomial ODE question

Published on 03 Apr 2014 - 21:36

925

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Use Bonnet recursion formula to prove by induction

Published on 09 Apr 2014 - 0:17

List Question

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

Trouble proving identity with Legendre polynomials

How to solve Legendre's differential equation without power series assumption?

Higher-order Derivatives of Legendre Polynomials at endpoints

Pointwise convergence of Fourier-Legendre Series expansion

Using Orthogonality of Legendre Polynomials to determine a Recurrence Relation

Show that Legendre polynomial satisfies $\int P_n(x)dx=\frac{1}{2^{n+1}}[P_{n+1}(x)-P_{n-1}(x)]$

Prove that the Legendre polynomial satisfies $\int_{-1}^1(1-x^2) P_m' P_n' dx=0$

Prove that Legendre polynomial satisfies $\int_{-1}^1 x P_n(x) P_m '(x) dx=0$

Integrate product of two spherical harmonics over half-sphere

Legendre Polynomial as an integral

Integrals with Legendre polynomials

Calculating Fourier expansion using Legendre Polynomials

Stuck on this Legendre polynomial ODE question

Use Bonnet recursion formula to prove by induction

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