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hypergeometric identity : ウィキペディア英語版
hypergeometric identity

In mathematics, hypergeometric identities are equalities involving sums over hypergeometric terms, i.e. the coefficients occurring in hypergeometric series. These identities occur frequently in solutions to combinatorial problems, and also in the analysis of algorithms.
These identities were traditionally found 'by hand'. There exist now several algorithms which can find and ''prove'' all hypergeometric identities.
== Examples ==
: \sum_^ = 2^
: \sum_^ ^2 =
: \sum_^ k = n2^
: \sum_^ i = (n+1)-

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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