List questions from legendre-polynomials

Published on 25 Jun 2023 - 2:04

214

Views

How to obtain the Legendre Polynomials from the power series solution (of the Legendre's equation)?

Published on 28 Jun 2023 - 11:05

27

Views

Formula for Transformation of Polynomial Coefficients under Rotation

Published on 01 Jul 2023 - 19:07

1.5k

Views

First derivative of Legendre Polynomial

Published on 25 Mar 2026 - 7:42

552

Views

On the vanishing of the integral $\int^{n+4}_0 dt P_{\ell}\left(1 - \frac{2t}{n+4}\right)(-t+2)_{n+1}$ for $\ell \geq n+2$

Published on 26 Mar 2026 - 3:13

217

Views

Integral of associated Legendre polynomials over the unit interval

Published on 23 Aug 2023 - 10:52

75

Views

"Legendre-type" integrals involving $\frac{dt}{\sqrt{t^2-2t\cos(\theta)+1}}$

Published on 27 Aug 2023 - 19:26

126

Views

Asymptotic equality of $\frac{1}{n!}\frac{d^n}{dx^n}(x^n(1-x)^n) $

Published on 01 Sep 2023 - 16:54

32

Views

How to construct Legendre polynomials for $x_1,...,x_k$?

Published on 25 Mar 2026 - 11:10

74

Views

Re-writing a sum of binomial coefficients as an integral of shifted Legendre polynomials

Published on 04 Sep 2023 - 16:34

69

Views

Coefficient of $x^n$ in Legendre series expansion

Published on 25 Mar 2026 - 22:04

62

Views

How to prove this summation equation?

Published on 09 Sep 2023 - 8:35

22

Views

Integral Formula Involving Legendre Polynomials

Published on 11 Sep 2023 - 14:01

102

Views

Prove from the generating function that even index Legendre polynomials are even functions.

Published on 13 Sep 2023 - 2:48

22

Views

Integral of Squared Spherical Harmonics

Published on 23 Feb 2026 - 15:04

List Question

Legendre's Series: How can I show that $\int_{-1}^1 f(x)S(x)dx= f(1)$

How to obtain the Legendre Polynomials from the power series solution (of the Legendre's equation)?

Formula for Transformation of Polynomial Coefficients under Rotation

First derivative of Legendre Polynomial

On the vanishing of the integral $\int^{n+4}_0 dt P_{\ell}\left(1 - \frac{2t}{n+4}\right)(-t+2)_{n+1}$ for $\ell \geq n+2$

Integral of associated Legendre polynomials over the unit interval

"Legendre-type" integrals involving $\frac{dt}{\sqrt{t^2-2t\cos(\theta)+1}}$

Asymptotic equality of $\frac{1}{n!}\frac{d^n}{dx^n}(x^n(1-x)^n) $

How to construct Legendre polynomials for $x_1,...,x_k$?

Re-writing a sum of binomial coefficients as an integral of shifted Legendre polynomials

Coefficient of $x^n$ in Legendre series expansion

How to prove this summation equation?

Integral Formula Involving Legendre Polynomials

Prove from the generating function that even index Legendre polynomials are even functions.

Integral of Squared Spherical Harmonics

Trending Questions

Popular # Hahtags

Popular Questions