Abstract
In this paper, we present the natural extension of the Rogers- Ramanujan continued fraction to the nonterminating very well-poised basic hypergeometric function 8Ø7. In a letter to Hardy, Ramanujan indicated that he possessed a four variable generalization. Our generalization has seven variables and is, perhaps, all one can expect from this method.
Original language | English (US) |
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Pages (from-to) | 3343-3350 |
Number of pages | 8 |
Journal | Proceedings of the American Mathematical Society |
Volume | 123 |
Issue number | 11 |
DOIs | |
State | Published - Nov 1995 |
All Science Journal Classification (ASJC) codes
- General Mathematics
- Applied Mathematics