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author | prashantsinalkar | 2017-10-10 12:38:01 +0530 |
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committer | prashantsinalkar | 2017-10-10 12:38:01 +0530 |
commit | f35ea80659b6a49d1bb2ce1d7d002583f3f40947 (patch) | |
tree | eb72842d800ac1233e9d890e020eac5fd41b0b1b /75/CH5/EX5.7/ex_7.sce | |
parent | 7f60ea012dd2524dae921a2a35adbf7ef21f2bb6 (diff) | |
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updated the code
Diffstat (limited to '75/CH5/EX5.7/ex_7.sce')
-rwxr-xr-x | 75/CH5/EX5.7/ex_7.sce | 29 |
1 files changed, 29 insertions, 0 deletions
diff --git a/75/CH5/EX5.7/ex_7.sce b/75/CH5/EX5.7/ex_7.sce index a1608ff35..6eb53781d 100755 --- a/75/CH5/EX5.7/ex_7.sce +++ b/75/CH5/EX5.7/ex_7.sce @@ -1,3 +1,32 @@ +function [pL] = legendrepol(n,var) + +// Generates the Legendre polynomial +// of order n in variable var + +if n == 0 then + cc = [1]; +elseif n == 1 then + cc = [0 1]; +else + if modulo(n,2) == 0 then + M = n/2 + else + M = (n-1)/2 + end; + + cc = zeros(1,M+1); + for m = 0:M + k = n-2*m; + cc(k+1)=... + (-1)^m*gamma(2*n-2*m+1)/(2^n*gamma(m+1)*gamma(n-m+1)*gamma(n-2*m+1)); + end; +end; + +pL = poly(cc,var,'coeff'); +endfunction + +// End function legendrepol + // PG (277) deff('[y]=f(x)','y=exp(x)*cos(x)') |