On the polyanalytic short-time Fourier transform in the quaternionic setting

<p style='text-indent:20px;'>In this paper, we consider a quaternionic short-time Fourier transform (QSTFT) with normalized Hermite functions as windows. It turns out that such is based on the recent theory of slice polyanalytic quaternions. Indeed, will use notions true and full Fock spaces Segal-Bargmann transforms. We prove new properties QSTFT including Moyal formula, reconstruction formula Lieb's uncertainty principle. These results extend paper authors which studies having Gaussian function window.</p>