International Journal of Mathematics and Mathematical Sciences 
Volume 2007 (2007), Article ID 12604, 9 pages
doi:10.1155/2007/12604
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

Recommended by Misha Rudnev

Abstract

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.