hypergeometric function
special function defined by a hypergeometric series
| rdfs:label |
"hypergeometric function"@en
|
|
skos:alt |
"gaussian hypergeometric function"@en
"ordinary hypergeometric function"@en
|
| schema:description |
"special function defined by a hypergeometric series"@en
|
|
schema:date |
"2026-05-31T07:12:29+00:00"^^xsd:dateTime |
| schema:version | 2499933979 |
| wikibase:identifiers | 13 |
| wikibase:sitelinks | 18 |
| wikibase:statements | 32 |
| p:P10283 | wd:statement/Q21028472-F1A9A593-840B-4034-913D-51C80520431F |
| p:P10376 | wd:statement/Q21028472-4e7d1a85-4233-22bb-2246-314c6d462d57 |
| wd:statement/Q21028472-a7f7f874-4a80-cd9e-97fc-39140bb29b87 | |
| p:P1343 | wd:statement/Q21028472-7424300d-ffdb-42a2-9f9d-05d97427ddf8 |
| wd:statement/Q21028472-8d4c6a18-428b-6386-1c0f-c165fcf0f0bc | |
| p:P138 | wd:statement/Q21028472-AB9924ED-4856-486E-8D07-1C1E13C2D0DB |
| p:P1417 | wd:statement/Q21028472-69BFA4C4-082E-4D20-8870-832D499AE80A |
| p:P1482 | wd:statement/Q21028472-cb14c0af-479e-30a5-5fc1-65d24bfab12f |
| wd:statement/Q21028472-d131319d-41b5-d258-8ea3-e516a226bab3 | |
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| p:P1889 | wd:statement/Q21028472-58FB79D7-3B53-48AF-A6C1-E20ECAD32C10 |
| p:P2534 | wd:statement/Q21028472-34642EE2-0B4B-40F1-BBA9-D9DD7DFB000C |
| wd:statement/Q21028472-4748335a-4b1f-5da9-670b-3fe4dcef8997 | |
| p:P2812 | wd:statement/Q21028472-C8918C59-DFFF-463F-80BC-D4C00081EA93 |
| p:P31 | wd:statement/Q21028472-1700bf06-40f6-09f0-e71f-9a78fdf7b5f9 |
| wd:statement/Q21028472-283f7fb0-4740-a8b2-76bb-ed862b8cc0c9 | |
| wd:statement/Q21028472-6be8bbed-4f06-beb1-f11f-94bb387d1abc | |
| wd:statement/Q21028472-ae0a5cff-4169-fa66-03d4-b0b62bfaa8b7 | |
| p:P3827 | wd:statement/Q21028472-536E9B02-BDC3-4F50-B3AA-F8C59E940AFA |
| p:P6104 | wd:statement/Q21028472-34299B25-0397-4D68-8128-185E8BC477A2 |
| p:P6366 | wd:statement/Q21028472-F207EF62-14E6-4758-8604-F95E00A30D95 |
| p:P646 | wd:statement/Q21028472-66ABBCCE-777F-4192-BB88-CC7D63FD909A |
| p:P6781 | wd:statement/Q21028472-38d32a1e-46bf-130b-d7a8-a6b2eac1cb1d |
| p:P691 | wd:statement/Q21028472-FC9AEA6D-5997-4397-A373-6798E4A90CBB |
| p:P7235 | wd:statement/Q21028472-95a71044-4931-3681-f4f5-0747ef6f191e |
| wd:statement/Q21028472-b5717603-46e6-49d0-72ce-5280f27f5145 | |
| wd:statement/Q21028472-b6b87519-4e02-b24e-045c-a7914087e38f | |
| wd:statement/Q21028472-cbbe3204-47ea-8eff-a205-e1b4d5923d2c | |
| wd:statement/Q21028472-ee572066-4e4f-bd58-c090-a392814ed22d | |
| p:P7554 | wd:statement/Q21028472-0b58b829-40a0-c130-496d-955bbbc314e3 |
| p:P8189 | wd:statement/Q21028472-F541BD2A-B4E8-4036-9610-5B441B047449 |
| p:P8885 | wd:statement/Q21028472-4dbef951-45df-4e94-bbfc-00daa4a6247a |
|
p:direct- |
<https:/ |
| wdt:P10283 | "C197320386" |
| wdt:P10376 | "mathematics/hypergeometric-function" |
| "physics-and-astronomy/hypergeometric-functions" | |
| wdt:P1343 | ISO 80000-2:2019 Quantities and units — Part 2: Mathematics |
| Great Soviet Encyclopedia (1926–1947) | |
| wdt:P138 | Carl Friedrich Gauss |
| wdt:P1417 | "science/hypergeometric-function" |
| wdt:P1482 |
<https:/ |
|
<https:/ |
|
| wdt:P18 |
<http:/ |
| wdt:P1889 | hypergeometric series |
| 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">∑</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">∞</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">−</mo><mi>c</mi><mo stretchy="false">∉</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 | generalized hypergeometric function |
| function | |
| hypergeometric series | |
| special function | |
| wdt:P3827 | "hypergeometric-functions" |
| wdt:P6104 | WikiProject Mathematics |
| wdt:P6366 | "197320386" |
| wdt:P646 | "/m/06hygx" |
| wdt:P6781 | "Definition:Hypergeometric_Function/Gaussian" |
| wdt:P691 | "ph161655" |
| wdt:P7235 | "<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"><mi>n</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"><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">…</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">…</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" |
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