@prefix psr: <http://data.loterre.fr/ark:/67375/PSR> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .

psr:-SDBHRQ52-J
  skos:prefLabel "error function"@en, "fonction d'erreur"@fr ;
  a skos:Concept ;
  skos:broader psr:-GLLWFCMV-S .

psr:-GLLWFCMV-S
  skos:altLabel "integral function"@en ;
  skos:broader psr:-ST0RJ5D8-4 ;
  skos:exactMatch <https://fr.wikipedia.org/wiki/Fonction_enti%C3%A8re>, <https://en.wikipedia.org/wiki/Entire_function> ;
  skos:inScheme psr: ;
  skos:definition """En analyse complexe, une fonction entière est une fonction holomorphe définie sur tout le plan complexe. C'est le cas notamment de la fonction exponentielle complexe, des fonctions polynomiales et de leurs combinaisons par composition, somme et produit, telles que sinus, cosinus et les fonctions hyperboliques. Le quotient de deux fonctions entières est une fonction méromorphe. 
<br/>(Wikipedia, L'Encylopédie Libre, <a href="https://fr.wikipedia.org/wiki/Fonction_enti%C3%A8re">https://fr.wikipedia.org/wiki/Fonction_enti%C3%A8re</a>)"""@fr, """In complex analysis, an entire function, also called an integral function, is a complex-valued function that is holomorphic on the whole complex plane. Typical examples of entire functions are polynomials and the exponential function, and any finite sums, products and compositions of these, such as the trigonometric functions sine and cosine and their hyperbolic counterparts sinh and cosh, as well as derivatives and integrals of entire functions such as the error function. If an entire function <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\\\\displaystyle f(z)}">
         <semantics>
         <mrow class="MJX-TeXAtom-ORD">
         <mstyle displaystyle="true" scriptlevel="0">
         <mi>f</mi>
         <mo stretchy="false">(</mo>
         <mi>z</mi>
         <mo stretchy="false">)</mo>
         </mstyle>
         </mrow>
         <annotation encoding="application/x-tex">{\\\\displaystyle f(z)}</annotation>
         </semantics>
         </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d8dd568d570b390c337c0a911f0a1c5c214e8240" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:4.176ex; height:2.843ex;" alt="f(z)"></span> has a root at <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\\\\displaystyle w}">
         <semantics>
         <mrow class="MJX-TeXAtom-ORD">
         <mstyle displaystyle="true" scriptlevel="0">
         <mi>w</mi>
         </mstyle>
         </mrow>
         <annotation encoding="application/x-tex">{\\\\displaystyle w}</annotation>
         </semantics>
         </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/88b1e0c8e1be5ebe69d18a8010676fa42d7961e6" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.664ex; height:1.676ex;" alt="w"></span>, then <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\\\\displaystyle f(z)/(z-w)}">
         <semantics>
         <mrow class="MJX-TeXAtom-ORD">
         <mstyle displaystyle="true" scriptlevel="0">
         <mi>f</mi>
         <mo stretchy="false">(</mo>
         <mi>z</mi>
         <mo stretchy="false">)</mo>
         <mrow class="MJX-TeXAtom-ORD">
         <mo>/</mo>
         </mrow>
         <mo stretchy="false">(</mo>
         <mi>z</mi>
         <mo>−<!-- − --></mo>
         <mi>w</mi>
         <mo stretchy="false">)</mo>
         </mstyle>
         </mrow>
         <annotation encoding="application/x-tex">{\\\\displaystyle f(z)/(z-w)}</annotation>
         </semantics>
         </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2cc309277810b7b9241e1fb09f23ba95d5300ad1" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:12.74ex; height:2.843ex;" alt="{\\\\displaystyle f(z)/(z-w)}"></span>, taking the limit value at <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\\\\displaystyle w}">
         <semantics>
         <mrow class="MJX-TeXAtom-ORD">
         <mstyle displaystyle="true" scriptlevel="0">
         <mi>w</mi>
         </mstyle>
         </mrow>
         <annotation encoding="application/x-tex">{\\\\displaystyle w}</annotation>
         </semantics>
         </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/88b1e0c8e1be5ebe69d18a8010676fa42d7961e6" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.664ex; height:1.676ex;" alt="w"></span>, is an entire function. On the other hand, the natural logarithm, the reciprocal function, and the square root are all not entire functions, nor can they be continued analytically to an entire function. 
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Entire_function">https://en.wikipedia.org/wiki/Entire_function</a>)"""@en ;
  skos:prefLabel "fonction entière"@fr, "entire function"@en ;
  skos:related psr:-LNS7W0Z0-J, psr:-F7KFBQBM-S ;
  skos:narrower psr:-T6HZX2JX-V, psr:-SDBHRQ52-J ;
  a skos:Concept .

psr:-LNS7W0Z0-J
  skos:prefLabel "théorème de Liouville"@fr, "Liouville's theorem"@en ;
  a skos:Concept ;
  skos:related psr:-GLLWFCMV-S .

psr:-ST0RJ5D8-4
  skos:prefLabel "fonction holomorphe"@fr, "holomorphic function"@en ;
  a skos:Concept ;
  skos:narrower psr:-GLLWFCMV-S .

psr: a skos:ConceptScheme .
psr:-F7KFBQBM-S
  skos:prefLabel "Picard theorem"@en, "théorème de Picard"@fr ;
  a skos:Concept ;
  skos:related psr:-GLLWFCMV-S .

psr:-T6HZX2JX-V
  skos:prefLabel "fonction de Riesz"@fr, "Riesz function"@en ;
  a skos:Concept ;
  skos:broader psr:-GLLWFCMV-S .