Abstract and Applied Analysis
Volume 2013 (2013), Article ID 176470, 4 pages
http://dx.doi.org/10.1155/2013/176470
Research Article

Some Properties of the -Extension of the -Adic Gamma Function

1Mathematics Department, Science and Arts Faculty, Mersin University, Ciftlikkoy Campus, 33343 Mersin, Turkey
2Mathematics Graduate Program, Institute of Science, Mersin University, Ciftlikkoy Campus, 33343 Mersin, Turkey

Received 10 October 2012; Accepted 7 February 2013

Academic Editor: Giovanni P. Galdi

Copyright © 2013 Hamza Menken and Adviye Körükçü. 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

We study the -extension of the -adic gamma function . We give a new identity for the -extension of the -adic gamma in the case . Also, we derive some properties and new representations of the -extension of the -adic gamma in general case.