On the k-gamma q-distribution

Abstract

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

12 pages, 7 figures. To appear on Central European Journal of Mathematics

References in corpus (3)

• On integral representations of q-gamma and q-beta functions
• q,k-generalized gamma and beta functions
• On Path diagrams and Stirling permutations