Hermitian wavelet

Hermitian wavelets are a family of continuous wavelets, used in the continuous wavelet transform. The ${\displaystyle n^{\textrm {th}}}$ Hermitian wavelet is defined as the ${\displaystyle n^{\textrm {th}}}$ derivative of a Gaussian distribution:

${\displaystyle \Psi _{n}(t)=(2n)^{-{\frac {n}{2}}}c_{n}H_{n}\left({\frac {t}{\sqrt {n}}}\right)e^{-{\frac {1}{2n}}t^{2}}}$

...
Wikipedia