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math.CA1995★ 66 cited
More on the q-oscillator algebra and q-orthogonal polynomials
Roberto Floreanini, Jean LeTourneux, Luc Vinet
Properties of certain -orthogonal polynomials are connected to the -oscillator algebra. The Wall and -Laguerre polynomials are shown to arise as matrix elements of -exp…
math.CA1995★ 13 cited
An algebraic interpretation of the continuous big q-Hermite polynomials
Roberto Floreanini, Jean LeTourneux, Luc Vinet
The continuous big -Hermite polynomials are shown to realize a basis for a representation space of an extended -oscillator algebra. An expansion formula is algebraically deri…