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Legendre polynomial Pm(x)

02 Apr 2004 (Updated 16 Oct 2006)

Code covered by the BSD License

Legendre polynomial Pm(x).

File Information
Description	Function which constructs the Legendre polynomial Pm(x) for any M and X where M is the degree of polynomial and X is the variable or function.
MATLAB release	MATLAB 6.5 (R13)

Tags for This File
Everyone's Tags	construct, function, legendre polynomial(2), m, variable, x
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Comments and Ratings (5)
02 Nov 2005	Marc Kowalski	Does not work for MATLAB 7.x. Would have been simpler to use polyval
03 Nov 2005	Sergei Koptenko	Work of this function was checked with Matlab v. 7.0.4.365 (R14) SP2. a) function works, however it gives a warning "Warning: Could not find an exact (case-sensitive) match for 'legendrep'... a case-insensitive match and will be used instead." After renaming mfile from 'Legendrep.m' to 'legendrep.m' warning disappeared. b) I?m not sure, how polyval can be used instead of 'legendrep.m' to generate Legendre polynomial, so this comment is ignored
17 Nov 2006	Ondrej Machek	somethimes you have to use legendre polynomials instead of polyfit. I experienced good results using Matlab 7.0.4.
10 Sep 2008	Stig Andersson	Found a bug for m>=13. In the loop, the variable ii should be changed to (ii+10) when it not is used as an index for pp. N=ii+10; p_ii=[num2str(1/(N)) ' * (' num2str(2N-1) ' ' x '.(' ... deblank(pp(ii-1,:)) ')-' num2str(N-1) '(' deblank(pp(ii-2,:)) '))'];
23 Sep 2009	Muhammad saqib	i need help on legendre polynomial function of matlab to appy on 2 dimensional matrix...can some body help..

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Updates
12 Apr 2004	rev. 1: to comply with Matlab r13 (6.5)all "break" statements were replaced by "return" statements
03 Nov 2005	Updating to Matlab R14 (SP2)- file name changed from "Legendrep.m" to "legendrep.m"
03 Nov 2005	added example for R14
12 Oct 2006	small changes to improve Mlint score
16 Oct 2006	picture added
16 Oct 2006	a picture was added

Tag Activity for this File
Tag	Applied By	Date/Time
legendre polynomial	Sergei Koptenko	22 Oct 2008 07:17:25
function	Sergei Koptenko	22 Oct 2008 07:17:25
construct	Sergei Koptenko	22 Oct 2008 07:17:25
m	Sergei Koptenko	22 Oct 2008 07:17:25
x	Sergei Koptenko	22 Oct 2008 07:17:25
variable	Sergei Koptenko	22 Oct 2008 07:17:25
legendre polynomial	Nick Scourat	13 Nov 2009 13:24:39

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