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(R,p,q)-deformed quantum algebras: Coherent states and special functions

✍ Scribed by Hounkonnou, Mahouton Norbert; Kyemba, Joseph Désiré Bukweli


Book ID
120939853
Publisher
American Institute of Physics
Year
2010
Tongue
English
Weight
512 KB
Volume
51
Category
Article
ISSN
0022-2488

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A quantum-algebraic framework for many \(q\)-special functions is provided. The twodimensional Euclidean quantum algebra, \(s l_{4}(2)\) and the \(q\)-oscillator algebra are considered. Realizations of these algebras in terms of operators acting on vector spaces of functions in one complex variable