= Gosper's algorithm
{wiki=Gosper's_algorithm}
Gosper's algorithm is a mathematical method used for the efficient calculation of definite sums of certain types of hypergeometric series. Named after the mathematician Bill Gosper, the algorithm provides a way to find closed-form expressions for a wide range of sums that can be expressed in terms of polynomial or rational functions. The primary strength of Gosper's algorithm lies in its ability to handle sums that can be represented by terms that include factorials, binomial coefficients, and other combinatorial elements.
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