International Journal of Mathematics and Mathematical Sciences
Volume 2010 (2010), Article ID 785949, 12 pages
Research Article

On 𝑞 -Operators and Summation of Some 𝑞 -Series

Faculté des Sciences de Tunis, Tunis 1060, Tunisia

Received 14 October 2010; Accepted 11 December 2010

Academic Editor: Naseer Shahzad

Copyright © 2010 Sana Guesmi and Ahmed Fitouhi. 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.


Using Jackson's 𝑞 -derivative and the 𝑞 -Stirling numbers, we establish some transformation theorems leading to the values of some convergent 𝑞 -series.