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Advances in Numerical Analysis
Volume 2012 (2012), Article ID 780646, 13 pages
doi:10.1155/2012/780646
Discrete Gamma (Factorial) Function and Its Series in Terms of a Generalized Difference Operator
Department of Mathematics, Sacred Heart College, Tirupattur 635601, India
Received 17 July 2012; Accepted 5 October 2012
Academic Editor: Rüdiger Weiner
Copyright © 2012 G. Britto Antony Xavier 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
The recent theory and applications of difference operator introduced in (M. Maria Susai Manuel et al., 2012) are enriched and extended with a useful tool for finding the values of various series of discrete gamma functions in number theory. Illustrative examples show the effectiveness of the obtained results in finding the values of various gamma series.