gamma function

extension of the factorial function, with its argument shifted down by 1, to real and complex numbers
rdfs:label
"gamma function"@en
skos:altLabel
"Euler integral of the second kind"@en
"complete gamma function"@en
schema:description
"extension of the factorial function, with its argument shifted down by 1, to real and complex numbers"@en
schema:dateModified "2026-09-08T18:08:18+00:00"^^xsd:dateTime
schema:version 2542394453
wikibase:identifiers 26
wikibase:sitelinks 70
wikibase:statements 48
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wd:statement/Q190573-d74a8d32-49c6-b587-f2bc-f44e91ceb584
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p:P9545 wd:statement/Q190573-4E439DDE-4754-46BB-BAB8-1D96BE9F8B50
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wd:statement/Q190573-8614c00a-496c-26f9-f781-2d5ad0d1619a
p:direct-normalized/P227 <https://d-nb.info/gnd/4289118-8>
p:direct-normalized/P349 <http://id.ndl.go.jp/auth/ndlna/00562231>
p:direct-normalized/P6366 <https://makg.org/entity/82240120>
wdt:P10 <http://commons.wikimedia.org/wiki/Special:FilePath/Gamma%20property.gif>
wdt:P10283 "C82240120"
wdt:P1051 "7533"
wdt:P12888 "df-gam"
wdt:P12987 "specialfunction.gamma"
wdt:P1343 ISO 80000-2:2019 Quantities and units — Part 2: Mathematics
Great Soviet Encyclopedia (1926–1947)
Brockhaus and Efron Encyclopedic Dictionary
wdt:P13591 "concept/af3216f0-d056-4355-9291-e8c43b271fe3"
wdt:P1417 "science/gamma-function"
wdt:P1482 <https://stackoverflow.com/tags/gamma-function>
wdt:P18 <http://commons.wikimedia.org/wiki/Special:FilePath/Complex%20gamma.jpg>
<http://commons.wikimedia.org/wiki/Special:FilePath/ComplexGamma3Dlog.PNG>
<http://commons.wikimedia.org/wiki/Special:FilePath/Gamma%20plot.svg>
wdt:P1889 factorial
wdt:P227 "4289118-8"
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"><mi mathvariant="normal">&#x0393;</mi><mo>&#x2061;</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>z</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">=</mo><munderover><mo form="prefix" stretchy="false">&#x222B;</mo><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">&#x221E;</mi></mrow></munderover><msup><mi>t</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>z</mi><mo stretchy="false">&#x2212;</mo><mn>1</mn></mrow></mrow></msup><msup><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">e</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">&#x2212;</mo><mi>t</mi></mrow></mrow></msup><mspace width="0.167em"></mspace><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><mi>t</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P2812 "GammaFunction"
wdt:P31 meromorphic function
special function
wdt:P3219 "fonction-gamma"
wdt:P3417 "Gamma-Function"
wdt:P349 "00562231"
wdt:P373 "Gamma and related functions"
wdt:P3827 "gamma-function"
wdt:P3847 "gamma_functions"
wdt:P4215 "Gamma function"
wdt:P5008 Wikipedia:Vital articles/Level/4
wdt:P5047 "Gamma_function"
wdt:P5106 "gammaFunction"
wdt:P5610 "hypergeo0#gamma"
wdt:P61 Leonhard Euler
wdt:P6104 WikiProject Mathematics
wdt:P6262 "math:Gamma_function"
wdt:P6366 "82240120"
wdt:P646 "/m/037dm"
wdt:P6564 "gamma-function"
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 mathvariant="normal">&#x0393;</mi><mo>&#x2061;</mo><mo stretchy="false">(</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"><mi mathvariant="normal">e</mi></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"><mstyle displaystyle="true" scriptlevel="0"><munderover><mo stretchy="false">&#x222B;</mo><mrow data-mjx-texclass="ORD"><mi>a</mi></mrow><mrow data-mjx-texclass="ORD"><mi>b</mi></mrow></munderover></mstyle><mi>f</mi><mo stretchy="false">(</mo><mi>x</mi><mo stretchy="false">)</mo><mspace width="0.167em"></mspace><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">d</mi></mrow><mi>x</mi></mstyle></mrow></math>"^^http://www.w3.org/1998/Math/MathML
wdt:P7554 "Gamma-function"
wdt:P8865 reciprocal gamma function
wdt:P8885 "감마 함수"
wdt:P910 Category:Gamma and related functions
wdt:P9545 "249648"
wdt:P9621 "funzione-gamma"
"funzione-gamma-di-eulero"
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