On formulas of Ramanujan and Evans

DOI10.1007/s11139-006-8480-zzbMath1106.33005OpenAlexW1997685930MaRDI QIDQ850538

Mourad E. H. Ismail

Publication date: 3 November 2006

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-006-8480-z

zbMATH Keywords

PartitionsFinite difference operatorsRamanujan-Bradley identitySummation theorems

Mathematics Subject Classification ID

Partitions; congruences and congruential restrictions (11P83) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items (2)

A short proof of Ramanujan's famous \(_1\psi_1\) summation formula ⋮ On Sears's general transformation formula for basic hypergeometric series

Cites Work

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• Infinite-dimensional Lie algebras, theta functions and modular forms
• On some strange summation formulas
• Cranks and dissections in Ramanujan's lost notebook
• Ramanujan and Cranks
• Expansions of Hypergeometric Functions in Hypergeometric Functions
• New Combinatorial Interpretations of Ramanujan's Partition Congruences Mod 5,7 and 11
• On a Claim of Ramanujan About Certain Hypergeometric Series
• On factor states of 𝐶*-algebras and their extensions

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