@prefix p: <http://www.wikidata.org/prop/> .
@prefix rdfs: <http://www.w3.org/2000/01/rdf-schema#> .
@prefix schema1: <http://schema.org/> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .
@prefix wd: <http://www.wikidata.org/entity/> .
@prefix wds: <http://www.wikidata.org/entity/statement/> .
@prefix wdt: <http://www.wikidata.org/prop/direct/> .
@prefix wdtn: <http://www.wikidata.org/prop/direct-normalized/> .
@prefix wikibase: <http://wikiba.se/ontology#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

wd:Q21028472 rdfs:label "دالة هندسية فائقة"@ar,
        "Funció hipergeomètrica ordinària"@ca,
        "hypergeometrická funkce"@cs,
        "hypergeometrische Funktion"@de,
        "hypergeometric function"@en,
        "hipergeometria funkcio"@eo,
        "función hipergeométrica"@es,
        "hypergeometrinen funktio"@fi,
        "fonction hypergéométrique"@fr,
        "función hiperxeométrica"@gl,
        "פונקציה היפרגאומטרית"@he,
        "hipergeometrikus függveny"@hu,
        "Հիպերերկրաչափական շարք"@hy,
        "fungsi hipergeometris"@id,
        "ガウスの超幾何級数"@ja,
        "초기하함수"@ko,
        "хипергеометриска функција"@mk,
        "Serie ipergeométrica ëd Gauss"@pms,
        "função hipergeométrica"@pt,
        "função hipergeométrica"@pt-br,
        "funcție hipergeometrică"@ro,
        "гауссова гипергеометрическая функция"@ru,
        "Hipergeometrična funkcija"@sl,
        "Hypergeometriska funktionen"@sv,
        "Гіпергеометрична функція"@uk,
        "高斯超幾何函數"@yue,
        "超几何函数"@zh,
        "超几何函数"@zh-cn ;
    schema1:dateModified "2026-05-31T07:12:29+00:00"^^xsd:dateTime ;
    schema1:description "funció especial definida per una sèrie hipergeomètrica"@ca,
        "Potenzreihe, die Lösung der hypergeometrischen Differentialgleichung ist"@de,
        "special function defined by a hypergeometric series"@en,
        "analitika funkcio difinita de hipergeometria serio"@eo,
        "función especial definida per unha serie hiperxeométrica"@gl,
        "超幾何級数で定義される特殊関数"@ja,
        "função especial definida por uma série hipergeométrica"@pt,
        "função especial definida por uma série hipergeométrica"@pt-br,
        "семейство специальных математических функций"@ru ;
    schema1:version 2499933979 ;
    wikibase:identifiers 13 ;
    wikibase:sitelinks 18 ;
    wikibase:statements 32 ;
    skos:altLabel "hypergeometrické funkce"@cs,
        "gaußsche hypergeometrische Funktion"@de,
        "gewöhnliche hypergeometrische Funktion"@de,
        "gaussian hypergeometric function"@en,
        "ordinary hypergeometric function"@en,
        "función hipergeométrica gaussiana"@es,
        "función hipergeométrica ordinaria"@es,
        "fonction hypergéométrique de Gauss"@fr,
        "超幾何学関数"@ja,
        "超幾何関数"@ja,
        "гипергеометрическая функция"@ru,
        "функция гаусса"@ru,
        "普通超几何函数"@zh-cn,
        "高斯超几何函数"@zh-cn ;
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    p:P7235 wds:Q21028472-95a71044-4931-3681-f4f5-0747ef6f191e,
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        "physics-and-astronomy/hypergeometric-functions" ;
    wdt:P1343 wd:Q109490582,
        wd:Q20078554 ;
    wdt:P138 wd:Q6722 ;
    wdt:P1417 "science/hypergeometric-function" ;
    wdt:P1482 <https://math.stackexchange.com/tags/hypergeometric-function>,
        <https://mathoverflow.net/tags/hypergeometric-functions> ;
    wdt:P18 <http://commons.wikimedia.org/wiki/Special:FilePath/Plot%20of%20the%20hypergeometric%20function%202F1%28a%2Cb%3B%20c%3B%20z%29%20with%20a%3D2%20and%20b%3D3%20and%20c%3D4%20in%20the%20complex%20plane%20from%20-2-2i%20to%202%2B2i%20with%20colors%20created%20with%20Mathematica%2013.1%20function%20ComplexPlot3D.svg> ;
    wdt:P1889 wd:Q1434658 ;
    wdt:P2534 "<math class=\"mwe-math-element mwe-math-element-inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><mrow data-mjx-texclass=\"ORD\"><mi mathvariant=\"normal\">F</mi></mrow><mo stretchy=\"false\">(</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>,</mo><mi>c</mi><mo>;</mo><mi>z</mi><mo stretchy=\"false\">)</mo><mo stretchy=\"false\">=</mo><mstyle displaystyle=\"true\" scriptlevel=\"0\"><munderover><mo stretchy=\"false\">&#x2211;</mo><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mi>n</mi><mo stretchy=\"false\">=</mo><mn>0</mn></mrow></mrow><mrow data-mjx-texclass=\"ORD\"><mi mathvariant=\"normal\">&#x221E;</mi></mrow></munderover></mstyle><mrow data-mjx-texclass=\"ORD\"><mfrac><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mo stretchy=\"false\">(</mo><mi>a</mi><msub><mo stretchy=\"false\">)</mo><mrow data-mjx-texclass=\"ORD\"><mi>n</mi></mrow></msub><mo stretchy=\"false\">(</mo><mi>b</mi><msub><mo stretchy=\"false\">)</mo><mrow data-mjx-texclass=\"ORD\"><mi>n</mi></mrow></msub></mrow></mrow><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mo stretchy=\"false\">(</mo><mi>c</mi><msub><mo stretchy=\"false\">)</mo><mrow data-mjx-texclass=\"ORD\"><mi>n</mi></mrow></msub></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass=\"ORD\"><mfrac><mrow data-mjx-texclass=\"ORD\"><msup><mi>z</mi><mrow data-mjx-texclass=\"ORD\"><mi>n</mi></mrow></msup></mrow><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mi>n</mi><mo stretchy=\"false\">!</mo></mrow></mrow></mfrac></mrow><mo>,</mo><mo stretchy=\"false\">&#x2212;</mo><mi>c</mi><mo stretchy=\"false\">&#x2209;</mo><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mi>𝖭</mi></mrow></mrow></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML>,
        "<math class=\"mwe-math-element mwe-math-element-inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><mrow data-mjx-texclass=\"ORD\"><mi mathvariant=\"normal\">F</mi></mrow><mo stretchy=\"false\">(</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>,</mo><mi>c</mi><mo>;</mo><mi>z</mi><mo stretchy=\"false\">)</mo><mo stretchy=\"false\">=</mo><msub><mrow data-mjx-texclass=\"ORD\"></mrow><mrow data-mjx-texclass=\"ORD\"><mn>2</mn></mrow></msub><msub><mrow data-mjx-texclass=\"ORD\"><mi mathvariant=\"normal\">F</mi></mrow><mrow data-mjx-texclass=\"ORD\"><mn>1</mn></mrow></msub><mo stretchy=\"false\">(</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>;</mo><mi>c</mi><mo>;</mo><mi>z</mi><mo stretchy=\"false\">)</mo></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML> ;
    wdt:P2812 "HypergeometricFunction" ;
    wdt:P31 wd:Q109744257,
        wd:Q11348,
        wd:Q1434658,
        wd:Q867707 ;
    wdt:P3827 "hypergeometric-functions" ;
    wdt:P6104 wd:Q8487137 ;
    wdt:P6366 "197320386" ;
    wdt:P646 "/m/06hygx" ;
    wdt:P6781 "Definition:Hypergeometric_Function/Gaussian" ;
    wdt:P691 "ph161655" ;
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        "<math class=\"mwe-math-element mwe-math-element-inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><mo stretchy=\"false\">(</mo><mi>a</mi><msub><mo stretchy=\"false\">)</mo><mrow data-mjx-texclass=\"ORD\"><mi>k</mi></mrow></msub></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML>,
        "<math class=\"mwe-math-element mwe-math-element-inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><mrow data-mjx-texclass=\"ORD\"><mi mathvariant=\"normal\">F</mi></mrow><mo stretchy=\"false\">(</mo><mi>a</mi><mo>,</mo><mi>b</mi><mo>,</mo><mi>c</mi><mo>;</mo><mi>z</mi><mo stretchy=\"false\">)</mo></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML>,
        "<math class=\"mwe-math-element mwe-math-element-inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><mrow data-mjx-texclass=\"ORD\"><mrow data-mjx-texclass=\"ORD\"><mi>𝖭</mi></mrow></mrow></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML>,
        "<math class=\"mwe-math-element mwe-math-element-inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mrow data-mjx-texclass=\"ORD\"><mstyle displaystyle=\"true\" scriptlevel=\"0\"><msub><mrow data-mjx-texclass=\"ORD\"></mrow><mrow data-mjx-texclass=\"ORD\"><mi>p</mi></mrow></msub><msub><mrow data-mjx-texclass=\"ORD\"><mi mathvariant=\"normal\">F</mi></mrow><mrow data-mjx-texclass=\"ORD\"><mi>q</mi></mrow></msub><mrow data-mjx-texclass=\"INNER\"><mo data-mjx-texclass=\"OPEN\">(</mo><msub><mi>a</mi><mrow data-mjx-texclass=\"ORD\"><mn>1</mn></mrow></msub><mo>,</mo><msub><mi>a</mi><mrow data-mjx-texclass=\"ORD\"><mn>2</mn></mrow></msub><mo>,</mo><mo stretchy=\"false\">&#x2026;</mo><mo>,</mo><msub><mi>a</mi><mrow data-mjx-texclass=\"ORD\"><mi>p</mi></mrow></msub><mo>;</mo><msub><mi>b</mi><mrow data-mjx-texclass=\"ORD\"><mn>1</mn></mrow></msub><mo>,</mo><msub><mi>b</mi><mrow data-mjx-texclass=\"ORD\"><mn>2</mn></mrow></msub><mo>,</mo><mo stretchy=\"false\">&#x2026;</mo><mo>,</mo><msub><mi>b</mi><mrow data-mjx-texclass=\"ORD\"><mi>q</mi></mrow></msub><mo>;</mo><mi>z</mi><mo data-mjx-texclass=\"CLOSE\">)</mo></mrow></mstyle></mrow></math>"^^<http://www.w3.org/1998/Math/MathML> ;
    wdt:P7554 "Hypergeometric_function" ;
    wdt:P8189 "987007553157805171" ;
    wdt:P8885 "초기하함수" .

