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arXiv:q-alg/9610002 · International Journal of Modern Physics A

Irreducible Representations of Deformed Oscillator Algebra and q-Special Functions

Eugeniy Viktorovich Damaskinsky, P. P. Kulish

Published Jan 10, 1997• 18 citations
arXivHTMLPDF

Abstract

Different generators of a deformed oscillator algebra give rise to one-parameter families of q-exponential functions and q-Hermite polynomials. Connections of the Stieltjes and Hamburger classical moment problem with the corresponding resolution of unity are also pointed out.
DOI
10.1142/s0217751x97000207

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