The analytic summation of a hypergeometric series. Powerful general techniques of hypergeometric summation include Gosper's algorithm, Sister Celine's method, Wilf-Zeilberger pairs, and Zeilberger's algorithm.
Hypergeometric Summation
See also
Binomial Sums, Gosper's Algorithm, Sister Celine's Method, Wilf-Zeilberger Pair, Zeilberger's AlgorithmExplore with Wolfram|Alpha
References
Koepf, W. "Algorithms for
-fold Hypergeometric Summation." J. Symb. Comput. 20,
399-417, 1995.Referenced on Wolfram|Alpha
Hypergeometric SummationCite this as:
Weisstein, Eric W. "Hypergeometric Summation." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/HypergeometricSummation.html