%0 Journal Article %T Convergence Properties of Kemp's q-Binomial Distribution %A Stefan Gerhold %A Martin Zeiner %J Mathematics %D 2008 %I arXiv %X We consider Kemp's q-analogue of the binomial distribution. Several convergence results involving the classical binomial, the Heine, the discrete normal, and the Poisson distribution are established. Some of them are q-analogues of classical convergence properties. Besides elementary estimates, we apply Mellin transform asymptotics. %U http://arxiv.org/abs/0804.0534v1