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Date: 24-3-2019
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Date: 25-6-2019
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Date: 11-6-2019
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The q-hypergeometric function identity
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where
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is a q-hypergeometric function, and one of
,
,
,
, or
is equal to
(Hardy 1999, pp. 108-109). This identity includes the Dougall-Ramanujan identity as a special case.
REFERENCES:
Bailey, W. N. Generalised Hypergeometric Series. Cambridge, England: Cambridge University Press, pp. 66-72, 1935.
Hardy, G. H. Ramanujan: Twelve Lectures on Subjects Suggested by His Life and Work, 3rd ed. New York: Chelsea, pp. 109-110, 1999.
Jackson, F. H. "Summation of -Hypergeometric Series." Messenger Math. 50, 101-112, 1921.
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