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

T. Kim,1 L. C. Jang,2 and S. H. Rim3

 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

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.