Using `lpmn_values` for Legendre polynomials.
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Description
I have been looking for a function that does something similar to that of scipy's `scipy.special.eval_legendre` function. I dont know the math well but I have been told that the function that is supported by jax `jax.scipy.special.lpmn_values` would be a good use by making the function's parameter `m=0` and this solves for the polynomial.
[Legendre function Wiki Page](https://en.wikipedia.org/wiki/Legendre_function)
> The polynomial solutions when λ is an integer (denoted n), and μ = 0 are the Legendre polynomials Pn;
However I found that when I looked at the source code:
Found [Here](https://jax.readthedocs.io/en/latest/_modules/jax/_src/scipy/special.html#lpmn_values)
```python
if m != n:
raise NotImplementedError('Computations for m!=n are not yet supported.')
```
It would be really great to be able to solve for the Legendre polynomial. I dont know the math well enough (yet) to implement this myself so im hoping a more experienced person might be able to help.
Contributor guide
Research direction
Start by reading the linked JAX lpmn_values source and comparing its behavior with scipy.special.eval_legendre for m=0. Confirm the intended Legendre-polynomial cases and expected numerical behavior before deciding what implementation and tests are needed; done means the requested m=0 use case is supported and validated.
Written by the indexing model from the issue text.
Assessment
- Tech stack
- python
- Domain
- machine-learning
- Issue type
- Feature
- Difficulty
- 4/5
- Estimated time
- 3-5 days
- Activity status
- Stale
- Clarity
- Mostly clear
- Newbie friendliness
- 35/100