namespace boost{
namespace math{
-// Recurrance relation for Hermite polynomials:
+// Recurrence relation for Hermite polynomials:
template <class T1, class T2, class T3>
inline typename tools::promote_args<T1, T2, T3>::type
hermite_next(unsigned n, T1 x, T2 Hn, T3 Hnm1)
namespace detail{
-// Implement Hermite polynomials via recurrance:
+// Implement Hermite polynomials via recurrence:
template <class T>
T hermite_imp(unsigned n, T x)
{