Deprecate scipy.special.lpmn & lpmn_values #25675
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This is spurred by the deprecation of
scipy.special.lpmnandscipy.special.lpmn_valuesin SciPy version 1.15.0, and the nightly CI test failures due to thes deprecations: https://github.com/jax-ml/jax/actions/runs/12466440919.I initially attempted to replace the deprecated
scipy.special.lpmnwith the newscipy.special.assoc_legendre_p_all, but the outputs and conventions differ enough that I abandoned that.Given the issues with the implementation (e.g. #10623, #19157) and the fact that the functions are poor fits to the acceptance criteria for JAX APIs (see JEP 18137) I believe we should follow Scipy and fully deprecate these APIs.