International Journal of Mathematics and Mathematical Sciences
Volume 2007 (2007), Article ID 12604, 9 pages
Research Article

On a Class of Combinatorial Sums Involving Generalized Factorials

W.-S. Chou,1 L. C. Hsu,2 and P. J.-S. Shiue3

1Institute of Mathematics, Academia Sinica, Taipei 11529, Nankang, Taiwan
2Institute of Mathematical Sciences, Dalian University of Technology, Dalian 116024, Liaoning, China
3Department of Mathematical Sicences, University of Nevada, Las Vegas 89154-4020, NV, USA

Received 14 November 2006; Accepted 18 January 2007

Academic Editor: Misha Rudnev

Copyright © 2007 W.-S. Chou 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.


The object of this paper is to show that generalized Stirling numbers can be effectively used to evaluate a class of combinatorial sums involving generalized factorials.