# DIS

## Seminar

### On integral and finite Fourier transforms of continuous q-Hermite polynomials

Seminar Room 1, Newton Institute

#### Abstract

We give an overview of the remarkably simple transformation properties of the continuous q-Hermite polynomials of Rogers with respect to the classical Fourier integral transform. The behaviour of the q-Hermite polynomials under the finite Fourier transform and an explicit form of the q-extended eigenfunctions of the finite Fourier transform, defined in terms of these polynomials, are also discussed.#### Video

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