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On a reducibility of the Kampé de Fériet function |
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| Authors: | Medhat A Rakha Mohammed M Awad Arjun K Rathie |
| Institution: | 1. Department of Mathematics and Statistics, College of Science, Sultan Qaboos University, Muscat, Oman;2. Mathematics Department, Faculty of Science, Suez Canal University, Ismailia, Egypt;3. Department of Mathematics, School of Mathematical and Physical Sciences, Central University of Kerala, Kerala, India |
| Abstract: | The main objective of this research note is to provide an interesting result for the reducibility of the Kampé de Fériet function. The result is derived with the help of two results for the terminating 3F2 series very recently obtained by Rakha et al. A few interesting special cases have also been given. Copyright © 2014 John Wiley & Sons, Ltd. |
| Keywords: | generalized hypergeometric function Kampé de Fé riet function Kummer second summation theorem |