--- /dev/null
+## Copyright (C) 2007 Muthiah Annamalai <muthiah.annamalai@mavs.uta.edu>
+##
+## This program is free software; you can redistribute it and/or modify it under
+## the terms of the GNU General Public License as published by the Free Software
+## Foundation; either version 3 of the License, or (at your option) any later
+## version.
+##
+## This program is distributed in the hope that it will be useful, but WITHOUT
+## ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
+## FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more
+## details.
+##
+## You should have received a copy of the GNU General Public License along with
+## this program; if not, see <http://www.gnu.org/licenses/>.
+
+## -*- texinfo -*-
+## @deftypefn {Function File} {@var{coefs}=} legendrepoly (@var{order},@var{x})
+##
+## Compute the coefficients of the Legendre polynomial, given the
+## @var{order}. We calculate the Legendre polynomial using the recurrence
+## relations, Pn+1(x) = inv(n+1)*((2n+1)*x*Pn(x) - nPn-1(x)).
+##
+## If the value @var{x} is specified, the polynomial is also evaluated,
+## otherwise just the return the coefficients of the polynomial are returned.
+##
+## This is NOT the generalized Legendre polynomial.
+##
+## @end deftypefn
+
+function h = legendrepoly (order, val)
+ if (nargin < 1 || nargin > 2)
+ print_usage
+ endif
+
+ h_prev = [0 1];
+ h_now = [1 0];
+
+ if order == 0
+ h=h_prev;
+ else
+ h=h_now;
+ endif
+
+ for ord=2:order
+ x=[];
+ y=[];
+ if (length(h_now) < (1+ord))
+ x=0;
+ endif
+ y=zeros(1,(1+ord)-length(h_prev));
+ p1=[h_now, x];
+ p3=[y, h_prev];
+ h=((2*ord -1).*p1 -(ord -1).*p3)./(ord);
+ h_prev=h_now;
+ h_now=h;
+ endfor
+
+ if nargin == 2
+ h=polyval(h,val);
+ endif
+
+endfunction