On the Fourier - Gauss transforms of someq-exponential andq-trigonometric functions
- 21 November 1996
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 29 (22), 7177-7181
- https://doi.org/10.1088/0305-4470/29/22/017
Abstract
We examine the properties of q-exponential and q-trigonometric functions, recently introduced and discussed in the literature. It is shown that they are related to Jackson's q-analogues of the exponential and trigonometric functions by classical Fourier - Gauss transformations.Keywords
This publication has 8 references indexed in Scilit:
- On a one-parameter family ofq-exponential functionsJournal of Physics A: General Physics, 1996
- On the coherent states for theq-Hermite polynomials and related Fourier transformationJournal of Physics A: General Physics, 1996
- More on the q-oscillator algebra and q-orthogonal polynomialsJournal of Physics A: General Physics, 1995
- q-exponential and q-gamma functions. I. q-exponential functionsa)Journal of Mathematical Physics, 1995
- A characterization of the Rogers-hermite polynomialsInternational Journal of Mathematics and Mathematical Sciences, 1995
- Diagonalization of Certain Integral OperatorsAdvances in Mathematics, 1994
- On the wave functions of a covariant linear oscillatorTheoretical and Mathematical Physics, 1994
- A Basic-sine and cosine with symbolical solutions of certain differential equationsProceedings of the Edinburgh Mathematical Society, 1903