= Bailey pair
{wiki=Bailey_pair}
A Bailey pair is a specific concept in the context of combinatorial identities and combinatorial number theory. It is related to the theory of basic hypergeometric series, which are a generalization of classical hypergeometric series. In particular, a Bailey pair consists of two sequences of numbers, usually denoted as \\( (a_n) \\) and \\( (b_n) \\), that satisfy certain combinatorial conditions and can be used to derive identities involving sums or series.
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