Question

How to show that any Legendre polynomial, over $[-1,1]$, is bounded by one in absolute value?

score 2.1k · Answer 1 · 2015-09-09 16:52:08

2.1k

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How to show that any Legendre polynomial, over $[-1,1]$, is bounded by one in absolute value?

Published on 09 Sep 2015 - 16:52

score 989 · Answer 2 · 2015-09-11 22:58:39

989

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Binomial theorem for Legendre polynomials

Published on 11 Sep 2015 - 22:58

score 225 · Answer 3 · 2015-09-15 11:11:47

225

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Proving that $ \frac {\sin (n+1) \theta}{\sin \theta}=\sum \limits _{l=0}^{n} P_l(\cos \theta)P_{n-l}(\cos \theta)$

Published on 15 Sep 2015 - 11:11

score 392 · Answer 4 · 2015-09-15 11:49:40

392

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Finding the radius of convergence of a power series involving legendre polynomials

Published on 15 Sep 2015 - 11:49

score 2.1k · Answer 5 · 2015-09-17 17:52:57

2.1k

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Legendre functions $Q_n(x)$ of the second kind

Published on 17 Sep 2015 - 17:52

score 103 · Answer 6 · 2015-09-19 13:33:04

103

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Which method solves this integral equation? $\int_{-1}^{1}w(x)\,e^{tx}\,dx=6\left(\frac{\cosh(t)}{t^2}-\frac{\sinh(t)}{t^3}\right)$

Published on 19 Sep 2015 - 13:33

score 610 · Answer 7 · 2015-09-28 04:25:50

610

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Power series expansion of associated legendre polynomial.

Published on 28 Sep 2015 - 4:25

score 3k · Answer 8 · 2015-10-02 16:01:16

3k

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Normalisation of Legendre polynomials

Published on 02 Oct 2015 - 16:01

score 28 · Answer 9 · 2026-03-26 06:22:21

28

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Show that coefficient of homogeneous polynomial are determined by their degree and the difference of their index.

Published on 26 Mar 2026 - 6:22

score 982 · Answer 10 · 2015-10-07 20:57:13

982

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Derivative of Legendre Polynomial

Published on 07 Oct 2015 - 20:57

score 925 · Answer 11 · 2015-10-08 01:39:43

925

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Integration of Legendre Polynomial

Published on 08 Oct 2015 - 1:39

score 10.7k · Answer 12 · 2026-02-28 14:20:52

10.7k

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Solving the Legendre Equation with Frobenius Method

Published on 28 Feb 2026 - 14:20

score 1.6k · Answer 13 · 2026-03-13 10:59:32

1.6k

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Proving that the Legendre differential equation has solution of degree $n$ when $p=n$

Published on 13 Mar 2026 - 10:59

score 240 · Answer 14 · 2015-10-25 01:55:48

240

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Find the minimum coefficients in an inner product on L2(-1,1) using Legendre polynomials as orthonormal vectors.

Published on 25 Oct 2015 - 1:55

score 89 · Answer 15 · 2015-11-06 22:45:17

89

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Integrating Legendre's Polynomials

Published on 06 Nov 2015 - 22:45

List Question

How to show that any Legendre polynomial, over $[-1,1]$, is bounded by one in absolute value?

Binomial theorem for Legendre polynomials

Proving that $ \frac {\sin (n+1) \theta}{\sin \theta}=\sum \limits _{l=0}^{n} P_l(\cos \theta)P_{n-l}(\cos \theta)$

Finding the radius of convergence of a power series involving legendre polynomials

Legendre functions $Q_n(x)$ of the second kind

Which method solves this integral equation? $\int_{-1}^{1}w(x)\,e^{tx}\,dx=6\left(\frac{\cosh(t)}{t^2}-\frac{\sinh(t)}{t^3}\right)$

Power series expansion of associated legendre polynomial.

Normalisation of Legendre polynomials

Show that coefficient of homogeneous polynomial are determined by their degree and the difference of their index.

Derivative of Legendre Polynomial

Integration of Legendre Polynomial

Solving the Legendre Equation with Frobenius Method

Proving that the Legendre differential equation has solution of degree $n$ when $p=n$

Find the minimum coefficients in an inner product on L2(-1,1) using Legendre polynomials as orthonormal vectors.

Integrating Legendre's Polynomials

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