All Questions
4 questions
4
votes
2
answers
1k
views
How do I evaluate a symbolic integral involving Hermite polynomials?
I want to test a difficult integral : Integral on all reals of some complicated function involving the Hermitian polynomials, exponentials, squares, factorials, and being general considering any ...
- 63
3
votes
0
answers
497
views
Integrating the Associated Legendre Polynomials
I know the following identity:
$\qquad \int_{-1}^1 P_l^m(t)^2dt=\frac{2(m+n)!}{(2n+1)(n-m)!}$
I would like to verify this result using Mathematica. This is what I entered:
...
- 131
3
votes
1
answer
2k
views
Integrate Squared Legendre Polynomial
With the same purpose as this question, I wish to evaluate an integral that contains the squared Legendre Polynomials.
$\int_{-1}^{1}\left[P_n(x)\right]^2dx=\frac{2}{2n+1}$
I tried evaluating with ...
- 155
4
votes
2
answers
394
views
How to check whether Laguerre polynomials are orthogonal?
I've got the problem with checking if Laguerre polynomials for n=1,...,10 are orthogonal.
I have to create the list of these polynomials, then create the matrix of integrals from 0 to infinity. ...
- 41