On some generalizations of Ramanujan's continued fraction identities

DOI10.1007/BF02837811zbMath0656.10005OpenAlexW2019394773MaRDI QIDQ1109801

S. H. Smith

Publication date: 1987

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02837811

zbMATH Keywords

continued fraction expansionsidentitiesRogers-Ramanujan continued fractionsq-continued fractionsratio of basic hypergeometric series

Mathematics Subject Classification ID

Continued fractions (11A55) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (5)

Applications of the Heine and Bauer-Muir transformations to Rogers-Ramanujan type continued fractions ⋮ On regular C-fraction and general T-fraction expansions for ratios of basic hypergeometric series and Ramanujan-type identities ⋮ On q-series and continued fractions ⋮ Unnamed Item ⋮ A continued fraction of Ramanujan and some Ramanujan-Weber class invariants

Cites Work

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• Ramanujan's continued fraction
• Chapter 12 of Ramanujan's second notebook: Continued fractions
• Ramanujan's ``lost notebook. III: The Rogers-Ramanujan continued fraction
• A continued fraction
• A New Class of Continued Fraction Expansions for the Ratios of Heine Functions
• On Some Continued Fraction Identities of Srinivasa Ramanujan
• Chapter 16 of Ramanujan’s second notebook: theta-functions and 𝑞-series
• An Introduction to Ramanujan's "lost" Notebook
• A short note on generic initial ideals

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