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 Applications of generalized Kummer's summation theorem for the series ${}_{2}F_{1}$ Bull. Korean Math. Soc. 2009 Vol. 46, No. 6, 1201-1211 https://doi.org/10.4134/BKMS.2009.46.6.1201Published online November 1, 2009 Yong Sup Kim and Arjun K. Rathie Wonkwang University and Vedant College of Engineering and Technology Abstract : The aim of this research paper is to establish generalizations of classical Dixon's theorem for the series ${}_{3}F_{2}$, a result due to Bailey involving product of generalized hypergeometric series and certain very interesting summations due to Ramanujan. The results are derived with the help of generalized Kummer's summation theorem for the series ${}_{2}F_{1}$ obtained earlier by Lavoie, Grondin, and Rathie. Keywords : generalized Kummer's theorem, generalized Dixon's theorem, generalized Whipple's theorem MSC numbers : 33C05, 33C20 Downloads: Full-text PDF