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Generalized q-deformed Gaussian random variables

Marek Bożejko, Hiroaki Yoshida (2006)

Banach Center Publications

We produce generalized q-Gaussian random variables which have two parameters of deformation. One of them is, of course, q as for the usual q-deformation. We also investigate the corresponding Wick formulas, which will be described by some joint statistics on pair partitions.

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