| dbo:abstract |
In complex analysis, Gauss's continued fraction is a particular class of continued fractions derived from hypergeometric functions. It was one of the first analytic continued fractions known to mathematics, and it can be used to represent several important elementary functions, as well as some of the more complicated transcendental functions. (en) En análisis complejo la fracción continua de Gauss es un caso particular de fracción continua generalizada derivada de la serie hipergeométrica. Fue una de las primeras fracciones continuas analíticas conocidas en matemáticas y puede usarse para representar varias funciones elementales importantes, así cómo algunas de las más complicadas funciones trascendentes. (es) En analyse complexe, une fraction continue de Gauss est un cas particulier de fraction continue dérivé des fonctions hypergéométriques. Ce fut l'un des premiers exemples de fractions continues analytiques. Elles permettent de représenter des fonctions élémentaires importantes, ainsi que des fonctions spéciales transcendantes plus compliquées. (fr) 複素解析におけるガウスの連分数（ガウスのれんぶんすう、英: Gauss's continued fraction）は、超幾何関数から導出される特別なクラスのである。これは数学史上最も早く見出された解析的な連分数の一つであり、いくつかの重要な初等関数およびより複雑な超越関数の表現に用いることができる。 (ja) |
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https://archive.org/details/continuedfractio0000jone%7Curl-access https://archive.org/details/continuedfractio0000jone/page/198 |
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| dbp:title |
Gauss's Continued Fraction (en) |
| dbp:urlname |
GausssContinuedFraction (en) |
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dbt:Cite_book dbt:Math dbt:MathWorld dbt:Reflist |
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dbc:Continued_fractions |
| gold:hypernym |
dbr:Class |
| rdf:type |
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| rdfs:comment |
In complex analysis, Gauss's continued fraction is a particular class of continued fractions derived from hypergeometric functions. It was one of the first analytic continued fractions known to mathematics, and it can be used to represent several important elementary functions, as well as some of the more complicated transcendental functions. (en) En análisis complejo la fracción continua de Gauss es un caso particular de fracción continua generalizada derivada de la serie hipergeométrica. Fue una de las primeras fracciones continuas analíticas conocidas en matemáticas y puede usarse para representar varias funciones elementales importantes, así cómo algunas de las más complicadas funciones trascendentes. (es) En analyse complexe, une fraction continue de Gauss est un cas particulier de fraction continue dérivé des fonctions hypergéométriques. Ce fut l'un des premiers exemples de fractions continues analytiques. Elles permettent de représenter des fonctions élémentaires importantes, ainsi que des fonctions spéciales transcendantes plus compliquées. (fr) 複素解析におけるガウスの連分数（ガウスのれんぶんすう、英: Gauss's continued fraction）は、超幾何関数から導出される特別なクラスのである。これは数学史上最も早く見出された解析的な連分数の一つであり、いくつかの重要な初等関数およびより複雑な超越関数の表現に用いることができる。 (ja) |
| rdfs:label |
Fracción continua de Gauss (es) Gauss's continued fraction (en) Fraction continue de Gauss (fr) ガウスの連分数 (ja) |
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freebase:Gauss's continued fraction yago-res:Gauss's continued fraction wikidata:Gauss's continued fraction dbpedia-es:Gauss's continued fraction dbpedia-fr:Gauss's continued fraction dbpedia-ja:Gauss's continued fraction https://global.dbpedia.org/id/4TVZk |
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wikipedia-en:Gauss's_continued_fraction |
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