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 Rogers᎐Ramanujan identities. Two quintic transformations are given, one of which immediately proves the Rogers᎐R
✦ LIBER ✦
Arc spaces and the Rogers–Ramanujan identities
✍ Scribed by Clemens Bruschek, Hussein Mourtada, Jan Schepers
- Book ID
- 118809268
- Publisher
- Springer US
- Year
- 2012
- Tongue
- English
- Weight
- 924 KB
- Volume
- 30
- Category
- Article
- ISSN
- 1382-4090
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