# Several classes of orthogonal polynomials
# These are described in:
# Numerical Analysis, 5th edition
# by Richard L. Burden and J. Douglas Faires
# PWS Publishing Company, Boston, 1993.
# Library of congress: QA.297.B84.1993
# FIXME: Actually implement these!
# These polynomials are all recursively defined.

# Let's see...
# LegendreP, SphericalHarmonicY, GegenbauerC, ChebyshevT (first kind)
# ChebyshevU (second kind), HermiteH, LaguerreL, JacobiP
# Legendre polynomials
# Generated recursively by:
# P_0=1, P_1=x,
# P_n=[(2n-1)/n]*x*P_{n-1}-[(n-1)/n]*P_{n-2}
# FIXME!
# function legendre_polynomial(n) =
#	(
#	return 0
#	)

# Chebyshev polynomials
# Generated recursively by:
# T_0=1, T_1=x,
# T_n=2x*T_{n-1}-T_{n-2}
#function chebyshev_polynomial(n) =
#	(
#	return 0
#	)

# Laguerre polynomials
# Generated recursively by:
# L_0=1, L_1=1-x,
# L_n=(2n-1-x)*L_{n-1}-(n-1)^2*L_{n-2}
# FIXME!
#function laguerre_polynomial(n) =
#	(
#	return 0
#	)

# Hermite polynomials
# Generated recursively by:
# H_0=1, H_1=2x,
# H_n=2x*H_{n-1}-2(n-1)*H_{n-2}
# FIXME!
#function hermite_polynomial(n) =
#	(
#	return 0
#	)