# Legendre Polynomials

#### thepaqster

Hey there, does anyone know where I could find a list of Legendre Polynomials? I need them of the order 15 and above, and I haven't been able to find them on the net.
Thanks!

Related Other Physics Topics News on Phys.org

#### inha

Well you could use the recursion formulae. I haven't seen them listed too high anywhere.

#### Stingray

You can get them out of Mathematica, or something like that. If you don't have access to it, tell me exactly what you want to know.

#### Gokul43201

Staff Emeritus
Gold Member
Does not the Rodrigues' formula eventually give you coefficients of the terms ?

#### krab

Here's the 14th order:
$$-\left( \frac{429}{2048} \right) + \frac{45045\,x^2}{2048} - \frac{765765\,x^4}{2048} + \frac{4849845\,x^6}{2048} - \frac{14549535\,x^8} {2048} + \frac{22309287\,x^{10}} {2048} - \frac{16900975\,x^{12}} {2048} + \frac{5014575\,x^{14}}{2048}$$
Aren't I nice?

### Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving