Whipple derived a great many identities for generalized hypergeometric functions , many of which are consequently known as Whipple's identities
(transformations, etc.). Among Whipple's identities include

(Bailey 1935, p. 15; Koepf 1998, p. 32), where is a generalized
hypergeometric function and is a gamma function ,
and

(Bailey 1935, p. 28).

See also Generalized Hypergeometric Function ,

Watson's Theorem ,

Whipple's
Transformation
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References Bailey, W. N. "Whipple's Theorem on the Sum of a ."
§3.4 in Generalised
Hypergeometric Series. Cambridge, England: Cambridge University Press, p. 16,
1935. Graham, R. L.; Knuth, D. E.; and Patashnik, O. Concrete
Mathematics: A Foundation for Computer Science, 2nd ed. Reading, MA: Addison-Wesley,
1994. Koepf, W. Hypergeometric
Summation: An Algorithmic Approach to Summation and Special Function Identities.
Braunschweig, Germany: Vieweg, 1998. Whipple, F. J. W. "Well-Poised
Series and Other Generalized Hypergeometric Series." Proc. London Math. Soc.
Ser. 2 25 , 525-544, 1926. Referenced on Wolfram|Alpha Whipple's Identity
Cite this as:
Weisstein, Eric W. "Whipple's Identity."
From MathWorld --A Wolfram Web Resource. https://mathworld.wolfram.com/WhipplesIdentity.html

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