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

Journal Article · Fri May 15 00:00:00 EDT 2009 · Physics of Atomic Nuclei

DOI:https://doi.org/10.1134/S1063778809050020· OSTI ID:21405936

Atakishiyeva, M K ^[1]

---

1. Universidad Autonoma del Estado de Morelos, Facultad de Ciencias (Mexico)

We give an overview of the remarkably simple transformation properties of the continuous q-Hermite polynomials H{sub n}(x vertical bar q) of Rogers with respect to the classical Fourier integral transform. The behavior 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.

• OSTI ID: 21405936
• Journal Information: Physics of Atomic Nuclei, Vol. 72, Issue 5; Other Information: DOI: 10.1134/S1063778809050020; Copyright (c) 2009 Pleiades Publishing, Ltd.; ISSN 1063-7788
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
EIGENFUNCTIONS
FOURIER TRANSFORMATION
HERMITE POLYNOMIALS
INTEGRALS
FUNCTIONS
INTEGRAL TRANSFORMATIONS
POLYNOMIALS
TRANSFORMATIONS