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
✦ LIBER ✦
Some modular relations for the Göllnitz–Gordon functions by an even–odd method
✍ Scribed by Ernest X.W. Xia; X.M. Yao
- Book ID
- 113721542
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 181 KB
- Volume
- 387
- Category
- Article
- ISSN
- 0022-247X
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In a manuscript of Ramanujan, published with his Lost Notebook [21, pp. 236 237], there are forty identities involving the Rogers Ramanujan functions. According to G. N. Watson, the beauty of these identities are comparable to that of the Rogers Ramanujan identities. In the paper, we establish modul