Dougall,s Theorem
المؤلف:
Bailey, W. N
المصدر:
Generalised Hypergeometric Series. Cambridge, England: Cambridge University Press
الجزء والصفحة:
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15-6-2019
1420
Dougall's Theorem
where 
is a generalized hypergeometric function and 
is the gamma function.
Bailey (1935, pp. 25-26) called the Dougall-Ramanujan identity "Dougall's theorem."
REFERENCES:
Bailey, W. N. Generalised Hypergeometric Series. Cambridge, England: Cambridge University Press, pp. 25-27, 1935.
Dougall, J. "On Vandermonde's Theorem and Some More General Expansions." Proc. Edinburgh Math. Soc. 25, 114-132, 1907.
Hardy, G. H. "A Chapter from Ramanujan's Note-Book." Proc. Cambridge Philos. Soc. 21, 492-503, 1923.
Koepf, W. Hypergeometric Summation: An Algorithmic Approach to Summation and Special Function Identities. Braunschweig, Germany: Vieweg, p. 84, 1998.
Whipple, F. J. W. "On Well-Poised Series, Generalized Hypergeometric Series Having Parameters in Pairs, Each Pair with the Same Sum." Proc. London Math. Soc. 24, 247-263, 1926.
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