Hn⁡(x)=(-2⁢ⅈ)n⁢ⅇx2π12⁢∫-∞∞ⅇ-t2⁢tn⁢ⅇ2⁢ⅈ⁢x⁢t⁢ⅆ⁡t=2n+1π12⁢ⅇx2⁢∫0∞ⅇ-t2⁢tn⁢cos⁡(2⁢x⁢t-12⁢n⁢π)⁢ⅆ⁡t.