About: Rogers–Ramanujan continued fraction

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The Rogers–Ramanujan continued fraction is a continued fraction discovered by and independently by Srinivasa Ramanujan, and closely related to the Rogers–Ramanujan identities. It can be evaluated explicitly for a broad class of values of its argument.

Attributes	Values
rdf:type	yago:WikicatContinuedFractions yago:WikicatMathematicalIdentities yago:WikicatModularForms yago:Abstraction100002137 yago:Attribute100024264 yago:ComplexNumber113729428 yago:ContinuedFraction113736550 yago:DefiniteQuantity113576101 yago:Form106290637 yago:Fraction113732078 yago:Identity104618070 yago:LanguageUnit106284225 yago:Measure100033615 yago:Number113582013 yago:Part113809207 yago:Personality104617562 yago:RationalNumber113730469 yago:RealNumber113729902 yago:Relation100031921 yago:Word106286395
rdfs:label	Rogers-Ramanujan-Kettenbruch (de) Fracción continua de Rogers-Ramanujan (es) Fraction continue de Rogers-Ramanujan (fr) Rogers–Ramanujan continued fraction (en) Rogers–Ramanujans kedjebråk (sv)
rdfs:comment	La fracción continua de Rogers–Ramanujan es una fracción continua descubierta por y más tarde estudiada por Srinivasa Ramanujan, íntimamente relacionada con las , que puede ser evaluada explícitamente para determinados valores de su argumento. (es) Der Rogers-Ramanujan-Kettenbruch ist eine mathematische elliptische Funktion. Sie wurde von Leonard James Rogers und Srinivasa Ramanujan entdeckt. Diese Funktion entsteht als Produkt der Fünften-Wurzel-Funktion und des Quotienten der Rogers-Ramanujan-Identitäten . (de) La fraction continue de Rogers-Ramanujan est une fraction continue généralisée découverte par (en) en 1894 et indépendamment par Srinivasa Ramanujan vers 1910, qui est étroitement reliée aux identités de Rogers-Ramanujan ; il est possible d'en donner une forme explicite pour de nombreuses valeurs de son argument. (fr) The Rogers–Ramanujan continued fraction is a continued fraction discovered by and independently by Srinivasa Ramanujan, and closely related to the Rogers–Ramanujan identities. It can be evaluated explicitly for a broad class of values of its argument. (en) Inom matematiken är Rogers–Ramanujans kedjebråk ett kedjebråk upptäckt av Rogers 1894 och oberoende av Srinivasa Ramanujan som är nära relaterad till Rogers–Ramanujan-identiteterna. Den kan skrivas i sluten form för flera olika argument. (sv)
foaf:depiction
dcterms:subject	Modular forms Srinivasa Ramanujan Mathematical identities Q-analogs Continued fractions
Wikipage page ID	19667704 (xsd:integer)
Wikipage revision ID	1119779928 (xsd:integer)
Link from a Wikipage to another Wikipage	Quartic equation Dedekind eta function Denominator Modular forms Hypergeometric function Jacobi elliptic functions Srinivasa Ramanujan Continued fraction Nome (mathematics) Q-Pochhammer symbol Elliptic-curve cryptography Elliptic integral Golden ratio Modular form Theta function Complex multiplication Functional equation Algebraic number Cube (algebra) Numerator J-invariant Prime number Mathematical identities Q-analogs Modular curve Srinivasa Ramanujan Regular icosahedron Integer Algebraic numbers Quintic function Continued fractions Rogers–Ramanujan identities Octic Imaginary quadratic field Modular function
Link from a Wikipage to an external page	http://www.math.uiuc.edu/~berndt/articles/rrcf.pdf https://zenodo.org/record/1447732 https://mathworld.wolfram.com/Nome.htm
sameAs	Rogers–Ramanujan continued fraction Rogers–Ramanujan continued fraction Rogers–Ramanujan continued fraction Rogers–Ramanujan continued fraction Rogers–Ramanujan continued fraction Rogers–Ramanujan continued fraction Rogers–Ramanujan continued fraction
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thumbnail	wiki-commons:Special:FilePath/Rogers400.png?width=300
title	Rogers-Ramanujan Continued Fraction (en) Rogers-Ramanujan Identities (en)
urlname	Rogers-RamanujanContinuedFraction (en) Rogers-RamanujanIdentities (en)

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