Special functions MOC

Associated Legendre function

To every Legendre polynomial exist a number of associated Legendre functions defined (by one convention1) for as #m/def/fun

and

where naturally for .

Mathematica

The Associated Legendre polynomial may be generated in Wolfram Mathematica with LegendreP[ℓ, m, x].


#state/tidy | #lang/en | #SemBr

Footnotes

  1. 2018. Introduction to quantum mechanics, §4.1, p. 135