Legendre functions P(m,n,x)

Legendre functions may be defined as solutions of the equation

When m = 0 one non-degenerate solution is the Legendre polynomial:

When m > 0 the solution is given by the formula:


 MathMate syntax:            Leg(n,m,x) 
 Domain:                     m, n non-negative integers, m < n, |x| < 1 
See also: