A new probability distribution with applications

Mingjin Wang
2010 Pacific Journal of Mathematics  
We introduce a new probability distribution, which is useful in the study of basic hypergeometric series. As applications, we give probabilistic derivations of the q-binomial theorem, the q-Gauss summation formula, a new multiple identity, and an extension of the Rogers-Ramanujan identities. MSC2000: primary 60E05; secondary 33D15, 05A10.
doi:10.2140/pjm.2010.247.241 fatcat:obwxa7zflrglviccdp2rq2fh2y