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Some more identities of the Rogers-Ramanujan type

✍ Scribed by Douglas Bowman; James Mc Laughlin; Andrew V. Sills


Publisher
Springer US
Year
2008
Tongue
English
Weight
392 KB
Volume
18
Category
Article
ISSN
1382-4090

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Variants of the Rogers–Ramanujan Identit
✍ Kristina Garrett; Mourad E.H. Ismail; Dennis Stanton 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 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 Rogers᎐Ramanujan identities. Two quintic transformations are given, one of which immediately proves the Rogers᎐R