P = legendre(n,x)
P = legendre(n,x)
computes the associated Legendre functions of degree n
and order m = 0,1,...,n
, evaluated at x
. n
is an integer less than or equal to 256. x
is a vector whose elements are real and have absolute value less than or equal to one. P
is a matrix with n+1
rows and length(x)
columns. Each element of the returned matrix, P(i,j)
, corresponds to the associated Legendre function of degree n
and order (i-1)
evaluated at x(j)
. The first row of P
is the Legendre polynomial evaluated at x
.
Note that this answer is of the formlegendre(2,0:0.1:0.2)
ans =
-0.5000 -0.4850 -0.4400
0 -0.2985 -0.5879
3.0000 2.9700 2.8800
P(2,0;0) P(2,0;0.1) P(2,0;0.2)
P(2,1;0) P(2,1;0.1) P(2,1;0.2)
P(2,2;0) P(2,2;0.1) P(2,2;0.2)
where
is the Legendre polynomial of degree n.
(c) Copyright 1994 by The MathWorks, Inc.