On 5ψ5 identities of Bailey

DOI10.1142/s179304212450026xarXiv2302.14199MaRDI QIDQ6193635

Unnamed Author

Publication date: 18 March 2024

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2302.14199

zbMATH Keywords

basic hypergeometric seriessummation formulaBailey's \(_{3} \psi_{3}\) sumBailey's \(_{5} \psi_{5}\) sumIsmail's method

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Bibasic functions and multiple bases (33D65)

Cites Work

• Unnamed Item
• Abel's method on summation by parts and well-poised bilateral \(_{5}\psi _{5}\)-series identities
• Some formulas of F. H. Jackson
• Shorter Notes: A Simple Proof of Ramanujan's 1 Ψ 1 Sum
• The Very Well Poised 6 ψ 6
• ON THE BASIC BILATERAL HYPERGEOMETRIC SERIES ₂ψ₂

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