implemented Hermite polynomials

polynomial.h

@@ -23,6 +23,7 @@
 #include "la_traits.h"
 #include "vec.h"
 #include "nonclass.h"
+#include "matexp.h"
 
 namespace LA {
 
@@ -223,5 +224,20 @@ return p*q/poly_gcd(p,q,thr);
 }
 
 
+template <typename T>
+Polynomial<T> hermite_polynomial(int n) //physicists definition
+{
+Polynomial<T> h(n);
+h.clear();
+h[n]=ipow((T)2,n);
+for(int m=1; n-2*m>=0; m+=1)
+	{
+	int i=n-2*m;
+	h[i] = (-h[i+2] *(i+2)*(i+1)) /(4*m);
+	}
+return h;
+}
+
+
 }//namespace
 #endif