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Some formulas related to the Rogers-Ramanujan identities

โœ Scribed by L. Carlita


Book ID
112745535
Publisher
Springer
Year
1959
Tongue
English
Weight
325 KB
Volume
47
Category
Article
ISSN
0373-3114

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๐Ÿ“œ SIMILAR VOLUMES


Variants of the Rogersโ€“Ramanujan Identit
โœ Kristina Garrett; Mourad E.H. Ismail; Dennis Stanton ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 176 KB

We evaluate several integrals involving generating functions of continuous q-Hermite polynomials in two different ways. The resulting identities give new proofs and generalizations of the RogersแސRamanujan identities. Two quintic transformations are given, one of which immediately proves the RogersแސR