# Legendre Function “Types”

Legendre functions can be of first and second kinds; $P$, $Q$.

They can have order $\mu$ and degree $\nu$; $P^\mu_\nu$ $Q^\mu_\nu$

But do they also have Types? Some of the numerical software I am using defines "types" for Legendre. In fact, most if not all seem to.

Mathematica defines "types" 2 and 3

And the MPmath software I am using(via Sagemath) does the same.

The types do not agree for non-integer orders $\mu$. Confusingly, there does not appear to be a type 1 in either source.