Applications of the Heine and Bauer-Muir transformations to Rogers-Ramanujan type continued fractions

DOI10.1016/J.JMAA.2016.10.052zbMath1365.11088arXiv1906.11991OpenAlexW2537496539MaRDI QIDQ342946

James Mc Laughlin, Jongsil Lee, Jaebum Sohn

Publication date: 18 November 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.11991

zbMATH Keywords

Rogers-Ramanujan continued fractionBauer-Muir transformationHeine's continued fraction

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Continued fractions (11A55) Classical hypergeometric functions, ({}_2F_1) (33C05) Continued fraction calculations (number-theoretic aspects) (11Y65)

Cites Work

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• Chapter 16 of Ramanujan’s second notebook: theta-functions and 𝑞-series
• An Introduction to Ramanujan's "lost" Notebook
• Topics and Methods in q-Series
• Ramanujan's Lost Notebook
• Infinite Compositions of Mobius Transformations
• Further Identities of the Rogers-Ramanujan Type

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