... 2.1Hindawi Publishing CorporationJournal of Inequalities and ApplicationsVolume 2011, Article ID 513821, 8 pagesdoi:10.1155/2011/513821 Research Article A Study on the p-Adic q-Integral Representation ... this paper,p,p,andpwill denote the ring of p-adic integers, the field of p-adic rational numbers, and the completion of the algebraicclosure of p, respectively. Let be the set of natural ... associated with Gaussian binomial coefficients,”Russian Journal of Mathematical Physics, vol. 15, no. 1, pp. 51–57, 2008.10 T. Kim, “On a q-analogue of the p-adic log gamma functions and related...