First try at implementing evaluation of legendrePolynomial

src/legendrePolynomial.jl

@@ -0,0 +1,23 @@
+function legendrePolynomial(n)
+    #Storing the coefficients of the Legendre Polynomial up
+    # to n degree in a n+1 x n+1 matrix. We need to store all the coefficients
+    # because the loops are expression of the following recursive relation (Bonnet):
+    #(n+1)*P_{n+1}(x) = (2n+1)*x*P_{n}(x) - n*P_{n-1}(x)
+    c = zeros((n+1, n+1))
+    c[1,1] = 1.0
+
+    if n <= 0
+        return c
+    end
+    c[2,2] = 1.0
+
+    for i = 2:n
+        for j=0:i-1
+            c[i+1,j+1] = (- i + 1) * c[i-1,j+1] / i
+        end
+        for j=1:i
+            c[i+1,j+1] = c[i+1,j+1] + (i+i - 1) * c[i,j] / i
+        end
+    end
+    return c
+end