%0 Journal Article
%T Note on the sums of powers of consecutive $q$-integers
%A Y. Simsek
%A D. Kim
%A T. Kim
%A S. H. Rim
%J Mathematics
%D 2005
%I arXiv
%X In this paper we construct the $q$-analogue of Barnes's Bernoulli numbers and polynomials of degree 2, for positive even integers, which is an answer to a part of Schlosser's question. For positive odd integers, Schlosser's question is still open. Finally, we will treat the $q$-analogue of the sums of powers of consecutive integers.
%U http://arxiv.org/abs/math/0503209v1