Question

Why does the DLMF distinguish between Ferrers functions and the associated Legendre functions?

score 691 · Answer 1 · 2016-12-09 19:42:15

691

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Why does the DLMF distinguish between Ferrers functions and the associated Legendre functions?

Published on 09 Dec 2016 - 19:42

score 1.4k · Answer 2 · 2016-12-14 06:02:29

1.4k

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The integral representation of Legendre function or Laguerre

Published on 14 Dec 2016 - 6:02

score 9.4k · Answer 3 · 2016-12-14 15:49:47

9.4k

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How to derive the power series solution for Associated Legendre Differential Equation

Published on 14 Dec 2016 - 15:49

score 250 · Answer 4 · 2026-03-25 06:34:23

250

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Problems Concerning Hermite and Legendre Polynomials (Folland's Fourier Analysis)

Published on 25 Mar 2026 - 6:34

score 215 · Answer 5 · 2016-12-20 19:55:35

215

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How to see there exists const $C$ such that $\frac{d^{n-m}}{dx^{n-m}}(1-x^2)^n=C(1-x^2)^m\frac{d^{n+m}}{dx^{n+m}}(1-x^2)^n$

Published on 20 Dec 2016 - 19:55

score 1.5k · Answer 6 · 2026-02-23 04:56:31

1.5k

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Method of solving an Associated Legendre Equation with m=0, and m not equal to 0 with explanation

Published on 23 Feb 2026 - 4:56

score 290 · Answer 7 · 2016-12-29 16:04:41

290

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Maximum of Legendre polynomial

Published on 29 Dec 2016 - 16:04

score 3.1k · Answer 8 · 2017-01-24 10:00:42

3.1k

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Summation of Legendre polynomials $\sum_{l=2}^{\infty} \frac{(2l+1)(l+1)}{K+(l+1)(l+2)(l-1)} P_l\left(\cos(\theta)\right)$

Published on 24 Jan 2017 - 10:00

score 564 · Answer 9 · 2017-02-06 17:17:02

564

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How to generate Legendre polynomials by Bonnet’s recursion formula

Published on 06 Feb 2017 - 17:17

score 1.2k · Answer 10 · 2017-02-07 14:13:31

1.2k

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Composite Gauss Legendre quadrature

Published on 07 Feb 2017 - 14:13

score 41 · Answer 11 · 2017-02-07 14:29:25

41

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Link between the coefficients of series expansion and an expansion based on a sub-interval?

Published on 07 Feb 2017 - 14:29

score 570 · Answer 12 · 2026-03-25 19:03:09

570

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Expanding an inverse distance by Legendre polynomials

Published on 25 Mar 2026 - 19:03

score 162 · Answer 13 · 2017-02-10 22:17:20

162

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Closed form for $S= \sum\limits_{k=0}^n x^k \binom{n}{k}^2$

Published on 10 Feb 2017 - 22:17

score 1.8k · Answer 14 · 2017-02-13 18:37:13

1.8k

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Integrating legendre polymial in terms of cosx

Published on 13 Feb 2017 - 18:37

score 121 · Answer 15 · 2017-02-15 23:04:56

121

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Inequality involving Legendre polynomials

Published on 15 Feb 2017 - 23:04

List Question

Why does the DLMF distinguish between Ferrers functions and the associated Legendre functions?

The integral representation of Legendre function or Laguerre

How to derive the power series solution for Associated Legendre Differential Equation

Problems Concerning Hermite and Legendre Polynomials (Folland's Fourier Analysis)

How to see there exists const $C$ such that $\frac{d^{n-m}}{dx^{n-m}}(1-x^2)^n=C(1-x^2)^m\frac{d^{n+m}}{dx^{n+m}}(1-x^2)^n$

Method of solving an Associated Legendre Equation with m=0, and m not equal to 0 with explanation

Maximum of Legendre polynomial

Summation of Legendre polynomials $\sum_{l=2}^{\infty} \frac{(2l+1)(l+1)}{K+(l+1)(l+2)(l-1)} P_l\left(\cos(\theta)\right)$

How to generate Legendre polynomials by Bonnet’s recursion formula

Composite Gauss Legendre quadrature

Link between the coefficients of series expansion and an expansion based on a sub-interval?

Expanding an inverse distance by Legendre polynomials

Closed form for $S= \sum\limits_{k=0}^n x^k \binom{n}{k}^2$

Integrating legendre polymial in terms of cosx

Inequality involving Legendre polynomials

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