@prefix psr: <http://data.loterre.fr/ark:/67375/PSR> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .
@prefix dc: <http://purl.org/dc/terms/> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

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psr:-TW914C47-B
  skos:definition """In mathematics, the upper and lower incomplete gamma functions are types of special functions which arise as solutions to various mathematical problems such as certain integrals. Their respective names stem from their integral definitions, which are defined similarly to the gamma function but with different or "incomplete" integral limits. The gamma function is defined as an integral from zero to infinity. This contrasts with the lower incomplete gamma function, which is defined as an integral from zero to a variable upper limit. Similarly, the upper incomplete gamma function is defined as an integral from a variable lower limit to infinity. 
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Incomplete_gamma_function">https://en.wikipedia.org/wiki/Incomplete_gamma_function</a>)"""@en, """En analyse mathématique, il existe plusieurs définitions de <b>fonctions gamma incomplètes</b>&nbsp;: pour un paramètre complexe <span class="texhtml"><i>a</i></span> de partie réelle strictement positive,
<br/>
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m {e}}^{-t}{\\
m {d}}t,\\\\\\\\\\\\Gamma (a,x)&amp;=\\\\int _{x}^{\\\\infty }t^{a-1}{\\
m {e}}^{-t}{\\
m {d}}t=\\\\Gamma (a)-\\\\gamma (a,x),\\\\\\\\P(a,x)&amp;={\\rac {\\\\gamma (a,x)}{\\\\Gamma (a)}}={\\rac {1}{\\\\Gamma (a)}}\\\\int _{0}^{x}{\\
m {e}}^{-t}t^{a-1}{\\
m {d}}t,\\\\\\\\\\\\gamma ^{*}(a,x)&amp;=x^{-a}P(a,x)={\\rac {x^{-a}}{\\\\Gamma (a)}}\\\\gamma (a,x).\\\\end{aligned}}}">
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<br/>    <annotation encoding="application/x-tex">{\\\\displaystyle {\\egin{aligned}\\\\gamma (a,x)&amp;=\\\\int _{0}^{x}t^{a-1}{\\
m {e}}^{-t}{\\
m {d}}t,\\\\\\\\\\\\Gamma (a,x)&amp;=\\\\int _{x}^{\\\\infty }t^{a-1}{\\
m {e}}^{-t}{\\
m {d}}t=\\\\Gamma (a)-\\\\gamma (a,x),\\\\\\\\P(a,x)&amp;={\\rac {\\\\gamma (a,x)}{\\\\Gamma (a)}}={\\rac {1}{\\\\Gamma (a)}}\\\\int _{0}^{x}{\\
m {e}}^{-t}t^{a-1}{\\
m {d}}t,\\\\\\\\\\\\gamma ^{*}(a,x)&amp;=x^{-a}P(a,x)={\\rac {x^{-a}}{\\\\Gamma (a)}}\\\\gamma (a,x).\\\\end{aligned}}}</annotation>
<br/>  </semantics>
<br/></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d848ffee19525262ef2c4a8dbf423bf6c4092fcc" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -11.838ex; width:43.367ex; height:24.843ex;" alt="{\\\\displaystyle {\\egin{aligned}\\\\gamma (a,x)&amp;=\\\\int _{0}^{x}t^{a-1}{\\
m {e}}^{-t}{\\
m {d}}t,\\\\\\\\\\\\Gamma (a,x)&amp;=\\\\int _{x}^{\\\\infty }t^{a-1}{\\
m {e}}^{-t}{\\
m {d}}t=\\\\Gamma (a)-\\\\gamma (a,x),\\\\\\\\P(a,x)&amp;={\\rac {\\\\gamma (a,x)}{\\\\Gamma (a)}}={\\rac {1}{\\\\Gamma (a)}}\\\\int _{0}^{x}{\\
m {e}}^{-t}t^{a-1}{\\
m {d}}t,\\\\\\\\\\\\gamma ^{*}(a,x)&amp;=x^{-a}P(a,x)={\\rac {x^{-a}}{\\\\Gamma (a)}}\\\\gamma (a,x).\\\\end{aligned}}}"> </center>
<br/>(Wikipedia, L'Encylopédie Libre, <a href="https://fr.wikipedia.org/wiki/Fonction_gamma_incompl%C3%A8te">https://fr.wikipedia.org/wiki/Fonction_gamma_incompl%C3%A8te</a>)"""@fr ;
  skos:broader psr:-R9K39R4D-P, psr:-FH1H1FB9-1 ;
  skos:prefLabel "fonction gamma incomplète"@fr, "incomplete gamma function"@en ;
  dc:modified "2023-07-27"^^xsd:date ;
  skos:inScheme psr: ;
  skos:exactMatch <https://fr.wikipedia.org/wiki/Fonction_gamma_incompl%C3%A8te>, <https://en.wikipedia.org/wiki/Incomplete_gamma_function> ;
  dc:created "2023-07-27"^^xsd:date ;
  a skos:Concept .

psr:-FH1H1FB9-1
  skos:prefLabel "special function"@en, "fonction spéciale"@fr ;
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