@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#> .

psr: a skos:ConceptScheme .
psr:-JN2BVS0K-2
  skos:altLabel "fonction de Wright"@fr, "Wright function"@en ;
  dc:created "2023-08-16"^^xsd:date ;
  a skos:Concept ;
  skos:exactMatch <https://en.wikipedia.org/wiki/Wright_omega_function>, <https://fr.wikipedia.org/wiki/Fonction_omega_de_Wright> ;
  skos:prefLabel "Wright omega function"@en, "fonction omega de Wright"@fr ;
  skos:definition """In mathematics, the <b>Wright omega function</b> or <b>Wright function</b>, denoted <i>ω</i>, is defined in terms of the Lambert W function as:
<br/>
<br/><dl><dd><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 \\\\omega (z)=W_{{\\ig \\\\lceil }{\\rac {\\\\mathrm {Im} (z)-\\\\pi }{2\\\\pi }}{\\ig \\
ceil }}(e^{z}).}">
<br/>  <semantics>
<br/>    <mrow class="MJX-TeXAtom-ORD">
<br/>      <mstyle displaystyle="true" scriptlevel="0">
<br/>        <mi>ω<!-- ω --></mi>
<br/>        <mo stretchy="false">(</mo>
<br/>        <mi>z</mi>
<br/>        <mo stretchy="false">)</mo>
<br/>        <mo>=</mo>
<br/>        <msub>
<br/>          <mi>W</mi>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mrow class="MJX-TeXAtom-ORD">
<br/>              <mrow class="MJX-TeXAtom-ORD">
<br/>                <mo maxsize="1.2em" minsize="1.2em">⌈</mo>
<br/>              </mrow>
<br/>            </mrow>
<br/>            <mrow class="MJX-TeXAtom-ORD">
<br/>              <mfrac>
<br/>                <mrow>
<br/>                  <mrow class="MJX-TeXAtom-ORD">
<br/>                    <mi mathvariant="normal">I</mi>
<br/>                    <mi mathvariant="normal">m</mi>
<br/>                  </mrow>
<br/>                  <mo stretchy="false">(</mo>
<br/>                  <mi>z</mi>
<br/>                  <mo stretchy="false">)</mo>
<br/>                  <mo>−<!-- − --></mo>
<br/>                  <mi>π<!-- π --></mi>
<br/>                </mrow>
<br/>                <mrow>
<br/>                  <mn>2</mn>
<br/>                  <mi>π<!-- π --></mi>
<br/>                </mrow>
<br/>              </mfrac>
<br/>            </mrow>
<br/>            <mrow class="MJX-TeXAtom-ORD">
<br/>              <mrow class="MJX-TeXAtom-ORD">
<br/>                <mo maxsize="1.2em" minsize="1.2em">⌉</mo>
<br/>              </mrow>
<br/>            </mrow>
<br/>          </mrow>
<br/>        </msub>
<br/>        <mo stretchy="false">(</mo>
<br/>        <msup>
<br/>          <mi>e</mi>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mi>z</mi>
<br/>          </mrow>
<br/>        </msup>
<br/>        <mo stretchy="false">)</mo>
<br/>        <mo>.</mo>
<br/>      </mstyle>
<br/>    </mrow>
<br/>    <annotation encoding="application/x-tex">{\\\\displaystyle \\\\omega (z)=W_{{\\ig \\\\lceil }{\\rac {\\\\mathrm {Im} (z)-\\\\pi }{2\\\\pi }}{\\ig \\
ceil }}(e^{z}).}</annotation>
<br/>  </semantics>
<br/></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/42db9cc1d79c5616f7f6d98da23bec290ed62c27" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -2.671ex; width:22.04ex; height:4.676ex;" alt="\\\\omega (z)=W_{{{\\ig \\\\lceil }{\\rac  {{\\\\mathrm  {Im}}(z)-\\\\pi }{2\\\\pi }}{\\ig \\
ceil }}}(e^{z})."> 
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Wright_omega_function">https://en.wikipedia.org/wiki/Wright_omega_function</a>)"""@en, """En mathématiques, la <b>fonction omega de Wright</b> ou <b>fonction de Wright</b>[</span>note 1]</span> dénotée <i>ω</i>, est définie à partir de la fonction W de Lambert par&nbsp;:
<br/>
<br/><dl><dd><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 \\\\omega (z)=W_{\\\\left\\\\lceil {\\rac {\\\\mathrm {Im} (z)-\\\\pi }{2\\\\pi }}\\
ight\\
ceil }(\\\\mathrm {e} ^{z}).}">
<br/>  <semantics>
<br/>    <mrow class="MJX-TeXAtom-ORD">
<br/>      <mstyle displaystyle="true" scriptlevel="0">
<br/>        <mi>ω<!-- ω --></mi>
<br/>        <mo stretchy="false">(</mo>
<br/>        <mi>z</mi>
<br/>        <mo stretchy="false">)</mo>
<br/>        <mo>=</mo>
<br/>        <msub>
<br/>          <mi>W</mi>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mrow>
<br/>              <mo>⌈</mo>
<br/>              <mrow class="MJX-TeXAtom-ORD">
<br/>                <mfrac>
<br/>                  <mrow>
<br/>                    <mrow class="MJX-TeXAtom-ORD">
<br/>                      <mi mathvariant="normal">I</mi>
<br/>                      <mi mathvariant="normal">m</mi>
<br/>                    </mrow>
<br/>                    <mo stretchy="false">(</mo>
<br/>                    <mi>z</mi>
<br/>                    <mo stretchy="false">)</mo>
<br/>                    <mo>−<!-- − --></mo>
<br/>                    <mi>π<!-- π --></mi>
<br/>                  </mrow>
<br/>                  <mrow>
<br/>                    <mn>2</mn>
<br/>                    <mi>π<!-- π --></mi>
<br/>                  </mrow>
<br/>                </mfrac>
<br/>              </mrow>
<br/>              <mo>⌉</mo>
<br/>            </mrow>
<br/>          </mrow>
<br/>        </msub>
<br/>        <mo stretchy="false">(</mo>
<br/>        <msup>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mi mathvariant="normal">e</mi>
<br/>          </mrow>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mi>z</mi>
<br/>          </mrow>
<br/>        </msup>
<br/>        <mo stretchy="false">)</mo>
<br/>        <mo>.</mo>
<br/>      </mstyle>
<br/>    </mrow>
<br/>    <annotation encoding="application/x-tex">{\\\\displaystyle \\\\omega (z)=W_{\\\\left\\\\lceil {\\rac {\\\\mathrm {Im} (z)-\\\\pi }{2\\\\pi }}\\
ight\\
ceil }(\\\\mathrm {e} ^{z}).}</annotation>
<br/>  </semantics>
<br/></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/882c811366f6227a42d18d5b87bd2ec26d280f71" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -3.338ex; width:22.17ex; height:5.343ex;" alt="{\\\\displaystyle \\\\omega (z)=W_{\\\\left\\\\lceil {\\rac {\\\\mathrm {Im} (z)-\\\\pi }{2\\\\pi }}\\
ight\\
ceil }(\\\\mathrm {e} ^{z}).}"> 
<br/>(Wikipedia, L'Encylopédie Libre, <a href="https://fr.wikipedia.org/wiki/Fonction_omega_de_Wright">https://fr.wikipedia.org/wiki/Fonction_omega_de_Wright</a>)"""@fr ;
  skos:broader psr:-FH1H1FB9-1 ;
  skos:inScheme psr: ;
  dc:modified "2023-08-16"^^xsd:date .

psr:-FH1H1FB9-1
  skos:prefLabel "special function"@en, "fonction spéciale"@fr ;
  a skos:Concept ;
  skos:narrower psr:-JN2BVS0K-2 .