Jackson,s Identity
المؤلف:
Bailey, W. N.
المصدر:
Generalised Hypergeometric Series. Cambridge, England: Cambridge University Press,
الجزء والصفحة:
...
23-8-2019
1314
Jackson's Identity
The q-hypergeometric function identity
where
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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