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

Atakishiyev, N *(Universidad Nacional Autónoma de México )*

Thursday 02 July 2009, 14:00-14:30

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.

#### Presentation

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