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]

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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, Journal Name: Physics of Atomic Nuclei Journal Issue: 5 Vol. 72; ISSN 1063-7788; ISSN PANUEO
• Country of Publication: United States
• Language: English

Related Subjects

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