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arXiv · 1008.1351

$(q,μ)$ and $(p,q,ζ)-$exponential functions: Rogers-Szegő polynomials and Fourier-Gauss transform

M. N. Hounkonnou·E. B. Ngompe Nkouankam
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Abstract

From the realization of $q-$oscillator algebra in terms of generalized derivative, we compute the matrix elements from deformed exponential functions and deduce generating functions associated with Rogers-Szegő polynomials as well as their relevant properties. We also compute the matrix elements associated to the $(p,q)-$oscillator algebra (a generalization of the $q-$one) and perform the Fourier-Gauss transform of a generalization of the deformed exponential functions.

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M. N. Hounkonnou, E. B. Ngompe Nkouankam. 2010-08-07. $(q,μ)$ and $(p,q,ζ)-$exponential functions: Rogers-Szegő polynomials and Fourier-Gauss transform. https://doi.org/10.1063/1.3498685

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