Available Orthogonal Polynomial Functions

Orthogonal Polynomials
LEGENDRE(X,N)

compute the Legendre polynomial of order n

LEGENDRE(X,N,M)

compute the associated Legendre polynomial of order n and degree m

NRMLEG(X,N)

compute the normalized Legendre polynomial of order n

NRMLEG(X,N,M)

compute the associated normalized Legendre polynomial of
order n and degree m

LEGP(X,N)

compute the Legendre function of the first kind of order n

LEGP(X,N,M)

compute the associated Legendre function of the first kind of
order n and degree m

LEGQ(X,N)

compute the Legendre function of the second kind of order n

LEGQ(X,N,M)

compute the associated Legendre function of the second
kind of order n and degree m

SPHRHRMR(X,P,N,M)

compute the real component of the spherical harmonic
function

SPHRHRMC(X,P,N,M)

compute the complex component of the spherical harmonic
function

LAGUERRE(X,N)

compoute the Laguerre polynomial of order n

LAGUERRL(X,N,A)

compute the generalized Laguerre polynomial of order n

NRMLAG(X,N)

compute the normalized Laguerre polynomial of order n

CHEBT(X,N)

compute the Chebyshev T (first kind) polynomial of order n

CHEBU(X,N)

compute the Chebyshev U (second kind) polynomial of order n

JACOBIP(X,N,A,B)

compute the Jacobi polynomial of order n

ULTRASPH(X,N,A)

compute the Ultraspherical (or Gegenbauer) polynomial of
order n

HERMITE(X,N)

compute the Hermite polynomial of order n

