q-Difference Equations and Identities of the Rogers–Ramanujan–Bailey Type

DOI10.1080/10236190412331314169zbMath1068.11012arXiv1812.04467OpenAlexW2149032342MaRDI QIDQ4652223

Andrew V. Sills

Publication date: 24 February 2005

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.04467

zbMATH Keywords

\(q\)-difference equationsRogers-Ramanujan-Bailey type identities

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65)

Related Items (3)

IDENTITIES OF THE ROGERS–RAMANUJAN–SLATER TYPE ⋮ A simple proof of the Rogers-Selberg identities ⋮ Identities of the Rogers-Ramanujan-Bailey type

Cites Work

• Transformations between basic hypergeometric series on different bases and identities of Rogers-Ramanujan type
• Transformations of non-terminating basic hypergeometric series, their contour integrals and applications to Rogers-Ramanujan identites
• On Rogers-Ramanujan Type Identities Related to the Modulus 11
• An Analytic Generalization of the Rogers-Ramanujan Identities for Odd Moduli
• ON q-DIFFERENCE EQUATIONS FOR CERTAIN WELL-POISED BASIC HYPERGEOMETRIC SERIES
• Identities of the Rogers-Ramanujan Type
• Some Identities in Combinatory Analysis
• A New Proof of Rogers's Transformations of Infinite Series
• Further Identities of the Rogers-Ramanujan Type

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