The Rogers-Ramanujan continued fraction

DOI10.1016/S0377-0427(99)00033-3zbMath0953.11005WikidataQ56765247 ScholiaQ56765247MaRDI QIDQ1301944

Heng Huat Chan, Bruce C. Berndt, Sen-Shan Huang, Soon-Yi Kang, Jaebum Sohn, Seung Hwan Son

Publication date: 26 January 2001

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

surveyRamanujan's continued fractionmodular equationsevaluations at explicit values

Mathematics Subject Classification ID

Continued fractions (11A55)

Related Items (17)

On Ramanujan's incomplete elliptic integral identities ⋮ Convergence properties of the classical and generalized Rogers-Ramanujan continued fraction ⋮ Rational analogues of Ramanujan's series for 1/π ⋮ On q-Deformed Real Numbers ⋮ On the Andrews-Schur proof of the Rogers-Ramanujan identities ⋮ About the cover: The continued fraction of Rogers-Ramanujan ⋮ “cases? for φ also” a question raised by Ramanujan ⋮ Continued fractions and Stern polynomials ⋮ Two modular equations for squares of the Rogers-Ramanujan functions with applications ⋮ Darboux evaluations for hypergeometric functions with the projective monodromy \(\mathrm{PSL}(2,\mathbb{F}_7)\) ⋮ Hecke relations in rational conformal field theory ⋮ Arithmetic of the Ramanujan-Göllnitz-Gordon continued fraction ⋮ From a Ramanujan-Selberg continued fraction to a Jacobian identity ⋮ Modular curves and Ramanujan's continued fraction ⋮ A new proof of Ramanujan's modular equation relating \(R(q)\) with \(R(q^{5})\) ⋮ Unnamed Item ⋮ Conjectures on the evaluation of certain functions with algebraic properties

Cites Work

• On the Rogers-Ramanujan continued fraction
• Ramanujan's continued fraction
• Ramanujan's ``lost notebook. III: The Rogers-Ramanujan continued fraction
• Continued fractions with applications
• New proofs of Ramanujan's partition identities for moduli 5 and 7
• On Ramanujan's continued fraction
• The continued fractions found in the unorganized portions of Ramanujan’s notebooks
• An Introduction to Ramanujan's "lost" Notebook
• Some theta function identities related to the Rogers-Ramanujan continued fraction
• Ramanujan’s class invariants, Kronecker’s limit formula, and modular equations
• Ramanujan's evaluations of Rogers-Ramanujan type continued fractions at primitive roots of unity
• Ramanujan's formulas for the explicit evaluation of the Rogers-Ramanujan continued fraction and theta-functions
• Some Values for the Rogers-Ramanujan Continued Fraction
• Some Theorems on the Rogers–Ramanujan Continued Fraction in Ramanujan’s Lost Notebook
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: The Rogers-Ramanujan continued fraction