Bradley's theorem evaluates 
in terms of the gamma
function when 
is a negative integer. Let
 |
where 
is a Pochhammer symbol, and let 
be a negative integer.
Then
 |
where 
is the gamma function.
Bradley's Theorem
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References
Berndt, B. C. Ramanujan's Notebooks, Part IV. New York: Springer-Verlag, pp. 346-348, 1994.Bradley, D. "On a Claim by Ramanujan about Certain Hypergeometric Series." Proc. Amer. Math. Soc. 121, 1145-1149, 1994.Referenced on Wolfram|Alpha
Bradley's TheoremCite this as:
Weisstein, Eric W. "Bradley's Theorem." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/BradleysTheorem.html