Question

Legendre polynomial with argument zero $P_n ( 0 )$

score 12.5k · Answer 1 · 2016-05-02 09:29:41

12.5k

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Legendre polynomial with argument zero $P_n ( 0 )$

Published on 02 May 2016 - 9:29

score 270 · Answer 2 · 2016-05-03 18:41:22

270

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Deriving the Normalization formula for Associated Legendre functions: Stage $2$ of $4$

Published on 03 May 2016 - 18:41

score 512 · Answer 3 · 2016-05-04 20:37:09

512

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Deriving the Normalization formula for Associated Legendre functions: Stage $3$ of $4$

Published on 04 May 2016 - 20:37

score 222 · Answer 4 · 2016-05-08 08:37:55

222

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Integrate the Fourier Legendre by parts :$\int_{-1}^{1}\left( x^{2}-1\right) ^{m}\cos \pi x\:dx$

Published on 08 May 2016 - 8:37

score 2.5k · Answer 5 · 2016-05-08 19:57:04

2.5k

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About the Fourier-Legendre series of $f(x)=e^{-x}$

Published on 08 May 2016 - 19:57

score 3.2k · Answer 6 · 2026-03-26 14:42:05

3.2k

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Deriving the Normalization formula for Associated Legendre functions: Stage $4$ of $4$

Published on 26 Mar 2026 - 14:42

score 676 · Answer 7 · 2016-05-10 16:08:02

676

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How to proof that $(n+1)P_{n}(x)-(2n+1)x P_{n}(x)+n P_{n-1}(x)=0$?

Published on 10 May 2016 - 16:08

score 352 · Answer 8 · 2016-05-24 13:38:08

352

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Find a recurrence relation and the Fourier-Legendre Series

Published on 24 May 2016 - 13:38

score 53 · Answer 9 · 2016-05-24 16:29:16

53

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Find a recurrence relationship for the following :

Published on 24 May 2016 - 16:29

score 344 · Answer 10 · 2016-05-27 13:14:07

344

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Integral inequality involving $f(x),\, x\,f(x),\, f(x)^2$

Published on 27 May 2016 - 13:14

score 1.2k · Answer 11 · 2016-05-30 07:29:09

1.2k

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Stuck understanding proof $\int_{-1}^{1}P_n^2(x)dx=\frac{2}{2n+1}$ of Legendre Polynomials

Published on 30 May 2016 - 7:29

score 7.1k · Answer 12 · 2016-05-30 14:33:14

7.1k

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prove $P_{2n}(0)=(-1)^n\frac{(2n)!}{2^{2n}(n!)^2}$ of Legendre Polynomials.

Published on 30 May 2016 - 14:33

score 2.8k · Answer 13 · 2016-06-06 16:22:20

2.8k

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How to express $2x^3-x^2-3x+2$ as a linear combination of Legendre polynomials

Published on 06 Jun 2016 - 16:22

score 42 · Answer 14 · 2016-06-06 16:37:04

42

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Compute $\int_{0}^{\pi} P^1_l(\cos(\theta))P^1_l(\cos(\theta-\alpha))\sin(\theta)d\theta$

Published on 06 Jun 2016 - 16:37

score 339 · Answer 15 · 2016-06-07 15:34:42

339

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Intuition for polynomial bases

Published on 07 Jun 2016 - 15:34

List Question

Legendre polynomial with argument zero $P_n ( 0 )$

Deriving the Normalization formula for Associated Legendre functions: Stage $2$ of $4$

Deriving the Normalization formula for Associated Legendre functions: Stage $3$ of $4$

Integrate the Fourier Legendre by parts :$\int_{-1}^{1}\left( x^{2}-1\right) ^{m}\cos \pi x\:dx$

About the Fourier-Legendre series of $f(x)=e^{-x}$

Deriving the Normalization formula for Associated Legendre functions: Stage $4$ of $4$

How to proof that $(n+1)P_{n}(x)-(2n+1)x P_{n}(x)+n P_{n-1}(x)=0$?

Find a recurrence relation and the Fourier-Legendre Series

Find a recurrence relationship for the following :

Integral inequality involving $f(x),\, x\,f(x),\, f(x)^2$

Stuck understanding proof $\int_{-1}^{1}P_n^2(x)dx=\frac{2}{2n+1}$ of Legendre Polynomials

prove $P_{2n}(0)=(-1)^n\frac{(2n)!}{2^{2n}(n!)^2}$ of Legendre Polynomials.

How to express $2x^3-x^2-3x+2$ as a linear combination of Legendre polynomials

Compute $\int_{0}^{\pi} P^1_l(\cos(\theta))P^1_l(\cos(\theta-\alpha))\sin(\theta)d\theta$

Intuition for polynomial bases

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