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Results tagged with special-functions
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user 61206
Questions on the special mathematical functions implemented in Mathematica.
1
vote
1
answer
402
views
Associated Legendre polynomials in Mathematica
I'm trying to look at the Associated Legendre Polynomial, so I plugged it into Mathematica to see the values for different input.
From wikipedia:
$$
p_l(x)=\frac{1}{2^l l!}\frac{\partial ^l}{\partial …
- 181
4
votes
1
answer
333
views
Proof associated Legendre polynomials are orthogonal: integral doesn't solve
Wondering why Mathematica can't solve this integral:
Integrate[
LegendreP[l1, 1, x] *
LegendreP[l2, 1, x], {x, -1, 1}]
Mathematica outputs: $\int_{-1}^1 P_{\text{l1}}^1(x) P_{\text{l2}}^1(x) \, d …
- 181