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Rogers–Ramanujan identities
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Rogers–Ramanujan identities : ウィキペディア英語版
Rogers–Ramanujan identities
In mathematics, the Rogers–Ramanujan identities are two identities related to basic hypergeometric series, first discovered and proved by . They were subsequently rediscovered (without a proof) by Srinivasa Ramanujan some time before 1913. Ramanujan had no proof, but rediscovered Rogers's paper in 1917, and they then published a joint new proof . independently rediscovered and proved the identities.
==Definition==
The Rogers–Ramanujan identities are
:G(q) = \sum_^\infty \frac =
\frac

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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