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TWO GENERALIZATIONS OF THE BUSCHE–RAMANUJAN IDENTITIES

✍ Scribed by TÓTH, LÁSZLÓ


Book ID
120509679
Publisher
World Scientific
Year
2013
Tongue
English
Weight
202 KB
Volume
09
Category
Article
ISSN
1793-0421

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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