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NTIS 바로가기Communications of the Korean Mathematical Society = 대한수학회논문집, v.20 no.1, 2005년, pp.169 - 178
CHOI, JUNE-SANG (Department of Mathematics College of Natural Sciences Dongguk University) , RATHIE ARJUN K. (Department of Mathematics Dungar College) , BHOJAK BHARTI (Department of Mathematics Dungar College)
Five results closely related to the well-known Preece's identity obtained earlier by Choi and Rathie will be derived here by using some known hypergeometric identities. In addition to this, the identities obtained earlier by Choi and Rathie have also been written in a compact form....
W. N. Bailey, Products of generalized hypergeometric series, Proc. London Math. Soc.(2) 28 (1928), 242-254
Y. S. Kim and A. K. Rathie, A generalization of Preece's identity, Commun. Korean Math. Soc. 14 (1999), 217-222
E. E. Kummer, Uber die hypergeometrische Reihe F(a; b; x), J. Reine Angew. Math. 15 (1836), 39-83
J. L. Lavoie, F. Grondin, and A. K. Rathie, Generalizations of Watson's theorem on the sum of a $_3F_2$ , Indian J. Math. 34 (1992), 23-32
J. L. Lavoie, F. Grondin, A. K. Rathie, and K. Arora, Generalizations of Dixon's theorem on the sum of a $_3F_2$ , Math. Comp. 49 (1987), 269-274
C. T. Preece, The product of two generalized hypergeometric functions, Proc. London Math. Soc.(2) 24 (1924), 370-380
E. D. Rainville, Special Functions, The Macmillan Company, New York, 1960
A. K. Rathie, A short proof of Preece's identity and other contiguous results, Rev. Mat. Estatist.(Brazil) 15 (1997), 207-210
A. K. Rathie and J. Choi, A note on an identity due to Preece, Far East J. Math. Sci. 6 (1998), 205-209
A. K. Rathie and S. Sharma, On a generalization of Preece's identity, Acta Cienc. Indica Math. 105 (1999), 167-168
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