Certain Bibasic Hypergeometric Transformation Formulae and Their Application to Rogers–Ramanujan Identities

✍ Scribed by U.B. Singh

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 168 KB
Volume: 198
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.1996.0107

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✍ U.B. Singh 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 159 KB

We have obtained two new transformation formulae with the help of Bailey's transform, one of which contains series involving two independent bases. It has also been shown that some very interesting new multiple series identities of the Rogers᎐Ramanujan type can be established.