A new form of the quintuple product identity and its application

DOI10.2298/FIL1707869SzbMath1488.11016MaRDI QIDQ5157355

Bhaskar Srivastava

Publication date: 13 October 2021

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

\(q\)-hypergeometric seriesquintuple product identitycontinued fraction

Mathematics Subject Classification ID

Continued fractions (11A55) Partition identities; identities of Rogers-Ramanujan type (11P84)

Cites Work

• A proof of the mock theta conjectures
• Ramanujan's ``lost notebook. III: The Rogers-Ramanujan continued fraction
• The triple, quintuple and setuple product identities revisited
• Uniform proofs of \(q\)-series-product identities
• Some new infinite families of \(\eta\)-function identities
• Two theorems of Gauss and allied identities proved arithmetically
• Applications of Basic Hypergeometric Functions
• THE QUINTUPLE PRODUCT IDENTITY
• A Simple Proof of the Quintuple Product Identity
• On the Simplification of Some Identities of the Rogers-Ramanujan Type
• Two Identities of Bailey
• Some Properties of Partitions
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