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http://dx.doi.org/10.4134/CKMS.2004.19.4.775

A SUMMATION FORMULA OF 6F5(1)  

Choi, June-Sang (Department of Mathematics College of Natural Sciences Dongguk University)
Arjun K. (Department of Mathematics Dungar College)
Shaloo Malani (Department of Mathematics Dungar College)
Publication Information
Communications of the Korean Mathematical Society / v.19, no.4, 2004 , pp. 775-778 More about this Journal
Abstract
The authors aim at obtaining an interesting result for a special summation formula for $_{6F_5}$(1), by comparing two generalized Watson's theorems on the sum of a $_{3F_2}$ obtained earlier by Mitra and Lavoie et. al.
Keywords
generalized hypergeometric series ${_pF_q}$; Watson′s summation theorem for ${_3F_q}$;
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  • Reference
1 W. N. Bailey, Generalized Hypergeometric Series, Cambridge University Press, Cambridge, 1935.
2 J. L. Lavoie, F. Grondin, and A. K. Rathie, Generalization of Watson's theorem on the sum of ${\alpha}_3F_2$, Indian J. Math. 34 (1992), 23-32.
3 S. C. Mitra, J. Indian Math. Soc. 7 (1943), no. 3, 102-110.