LaguerrePoly.m
7790148cd129gather_output

LaguerrePoly.m
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			% LaguerrePoly.m by David Terr, Raytheon, 5-11-04

			% Given nonnegative integer n, compute the
			% Laguerre polynomial L_n. Return the result as a vector whose mth
			% element is the coefficient of x^(n+1-m).
			% polyval(LaguerrePoly(n),x) evaluates L_n(x).


			function Lk = LaguerrePoly(n)

			if n==0
			Lk = 1;
			elseif n==1
			Lk = [-1 1]';
			else

			Lkm2 = zeros(n+1,1);
			Lkm2(n+1) = 1;
			Lkm1 = zeros(n+1,1);
			Lkm1(n) = -1;
			Lkm1(n+1) = 1;

			for k=2:n

			Lk = zeros(n+1,1);

			for e=n-k+1:n
			Lk(e) = (2k-1)Lkm1(e) - Lkm1(e+1) + (1-k)*Lkm2(e);
			end

			Lk(n+1) = (2k-1)Lkm1(n+1) + (1-k)*Lkm2(n+1);
			Lk = Lk/k;

			if k<n
			Lkm2 = Lkm1;
			Lkm1 = Lk;
			end

			end

			end