Continued fractions with three limit points

DOI10.1016/J.AIM.2004.04.004zbMath1131.11311OpenAlexW2036434814MaRDI QIDQ1771321

Ae Ja Yee, George E. Andrews, Alexandru Zaharescu, Bruce C. Berndt, Jaebum Sohn

Publication date: 21 April 2005

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2004.04.004

zbMATH Keywords

\(q\)-seriesRamanujan's lost notebookBauer-Muir transformationContinued fractiongeneral convergence of continued fractions

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Continued fractions (11A55)

Related Items (6)

On Ramanujan’s continued fraction for (𝑞²;𝑞³)_{∞}/(𝑞;𝑞³)_{∞} ⋮ Continued fractions with multiple limits ⋮ A tribute to Dennis Stanton ⋮ Ramanujan continued fractions via orthogonal polynomials ⋮ Combinatorics of continuants of continued fractions with 3 limits ⋮ A q-CONTINUED FRACTION

Cites Work

• Continued fractions with applications
• A continued fraction
• General Convergence of Continued Fractions
• The continued fractions found in the unorganized portions of Ramanujan’s notebooks
• Ramanujan's evaluations of Rogers-Ramanujan type continued fractions at primitive roots of unity
• On Ramanujan’s continued fraction for (𝑞²;𝑞³)_{∞}/(𝑞;𝑞³)_{∞}
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