In mathematics, the Rogers–Ramanujan identities are two identities related to basic hypergeometric series and integer partitions. The identities were first ... Application to partitions · Dedekind eta function identities |
The Rogers–Ramanujan identities imply two theorems for partitions of n subject to some simple restrictions. One of these may be stated as follows: The number of ... |
The following identity can be proved by manipulating generating functions and is a powerful tool for proving many results about generating functions in q and z. |
The sum sides of the Rogers–Ramanujan identities arose from the analysis of the Rogers–Ramanujan continued fraction. Next, we show how one can guess the product. |
A proof of the Rogers-Ramanujan identities is presented which is brief, elementary, and well motivated; the “easy” proof of whose existence Hardy and Wright ... |
30 янв. 2014 г. · We find a framework which extends the Rogers-Ramanujan identities to doubly-infinite families of q-series identities. If a\in\{1,2\} and m,n\geq ... |
Некоторые результаты поиска могли быть удалены в соответствии с местным законодательством. Подробнее... |
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