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Symmetric quantum Weyl algebras

Rafael DíazEddy Pariguan — 2004

Annales mathématiques Blaise Pascal

We study the symmetric powers of four algebras: q -oscillator algebra, q -Weyl algebra, h -Weyl algebra and U ( 𝔰𝔩 2 ) . We provide explicit formulae as well as combinatorial interpretation for the normal coordinates of products of arbitrary elements in the above algebras.

On the k-gamma q-distribution

Rafael DíazCamilo OrtizEddy Pariguan — 2010

Open Mathematics

We provide combinatorial as well as probabilistic interpretations for the q-analogue of the Pochhammer k-symbol introduced by Díaz and Teruel. We introduce q-analogues of the Mellin transform in order to study the q-analogue of the k-gamma distribution.

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