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Ramanujan-Göllnitz-Gordon Continued Fraction

✍ Scribed by Heng Huat Chan; Sen-Shan Huang


Book ID
110280888
Publisher
Springer US
Year
1997
Tongue
English
Weight
176 KB
Volume
1
Category
Article
ISSN
1382-4090

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📜 SIMILAR VOLUMES


The Rogers–Ramanujan continued fraction
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A survey of many theorems on the Rogers-Ramanujan continued fraction is provided. Emphasis is given to results from Ramanujan's lost notebook that have only recently been proved.

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We attempt to obtain new modular relations for the Göllnitz-Gordon functions by techniques which have been used by L. J. Rogers, G. N. Watson, and D. Bressoud to prove some of Ramanujan's 40 identities. Also, we give new proofs for some modular relations for the Göllnitz-Gordon functions which have