Ramanujan's Hypergeometric Identity
where ๐ _2F_1(a,b;c;x)
is a hypergeometric
function, ๐ _3F_2(a,b,c;d,e;x)
is a generalized
hypergeometric function, and ๐ Gamma(z)
is a gamma function.
See also
Generalized Hypergeometric Function, Hypergeometric FunctionExplore with Wolfram|Alpha
More things to try:
References
Hardy, G. H. Ramanujan: Twelve Lectures on Subjects Suggested by His Life and Work, 3rd ed. New York: Chelsea, p. 106, 1999.Referenced on Wolfram|Alpha
Ramanujan's Hypergeometric IdentityCite this as:
Weisstein, Eric W. "Ramanujan's Hypergeometric Identity." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/RamanujansHypergeometricIdentity.html
