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An algebraic interpretation of the continuous big q-Hermite polynomials

Roberto Floreanini·Jean LeTourneux·Luc Vinet
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Abstract

The continuous big $q$-Hermite polynomials are shown to realize a basis for a representation space of an extended $q$-oscillator algebra. An expansion formula is algebraically derived using this model.

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Roberto Floreanini, Jean LeTourneux, Luc Vinet. 1995-04-26. An algebraic interpretation of the continuous big q-Hermite polynomials. https://doi.org/10.1063/1.531216

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