High Quality Content by WIKIPEDIA articles! In mathematics, the Rogers–Ramanujan identities are a set of identities related to basic hypergeometric series. They were discovered by Leonard James Rogers (1894) and subsequently rediscovered by Srinivasa Ramanujan (1913) as well as by Issai Schur (1917). In mathematics, Heine's basic hypergeometric series, or hypergeometric q-series, are q-analog generalizations of generalized hypergeometric series, and are in turn generalized by elliptic hypergeometric series. A series {xn} is called hypergeometric if the ratio of successive terms xn + 1 / xn is a rational function of n. If the ratio of successive terms is a rational function of qn, then the series is called a basic hypergeometric series. The number q is called the base.

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