synonyms: zonal harmonics
Note the parity of Legendre polynomials: Pn(-x)=(-1)nPn(x); polynomials with even n are even and those with odd n are odd.
Note the recursion formula is useful to determine successive Legendre polynomials once P0=1 and P1=x are known. Also, this formula confirms that even parity applies to even n and that odd parity applies to odd n.
A further recurrence relation: .
Created or up-dated 07/20/99
by R.D. Poshusta