International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 49, Pages 2649-2651
doi:10.1155/S0161171204402105
An extension of q-zeta function
1Institute of Science Education, Kongju National University, Kongju 314-701, Korea
2Department of Mathematics and Computer Science, Konkuk University, Choongju 380-701, Korea
3Department of Mathematics Education, Kyungpook National University, Daegu 702-701, Korea
Received 27 February 2004
Copyright © 2004 T. Kim et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We will define the extension of q-Hurwitz zeta function due to Kim and Rim (2000) and study its properties. Finally, we lead to a useful new integral representation for the q-zeta function.