@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:-VRKMFV4J-6
  skos:broader psr:-VZ83B143-L, psr:-N2QX9K1Z-L ;
  dc:modified "2023-08-16"^^xsd:date ;
  skos:definition """In mathematics, the <b>Bessel polynomials</b> are an orthogonal sequence of polynomials. There are a number of different but closely related definitions. The definition favored by mathematicians is given by the series 
<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 y_{n}(x)=\\\\sum _{k=0}^{n}{\\rac {(n+k)!}{(n-k)!k!}}\\\\,\\\\left({\\rac {x}{2}}\\
ight)^{k}.}">
<br/>  <semantics>
<br/>    <mrow class="MJX-TeXAtom-ORD">
<br/>      <mstyle displaystyle="true" scriptlevel="0">
<br/>        <msub>
<br/>          <mi>y</mi>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mi>n</mi>
<br/>          </mrow>
<br/>        </msub>
<br/>        <mo stretchy="false">(</mo>
<br/>        <mi>x</mi>
<br/>        <mo stretchy="false">)</mo>
<br/>        <mo>=</mo>
<br/>        <munderover>
<br/>          <mo>∑<!-- ∑ --></mo>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mi>k</mi>
<br/>            <mo>=</mo>
<br/>            <mn>0</mn>
<br/>          </mrow>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mi>n</mi>
<br/>          </mrow>
<br/>        </munderover>
<br/>        <mrow class="MJX-TeXAtom-ORD">
<br/>          <mfrac>
<br/>            <mrow>
<br/>              <mo stretchy="false">(</mo>
<br/>              <mi>n</mi>
<br/>              <mo>+</mo>
<br/>              <mi>k</mi>
<br/>              <mo stretchy="false">)</mo>
<br/>              <mo>!</mo>
<br/>            </mrow>
<br/>            <mrow>
<br/>              <mo stretchy="false">(</mo>
<br/>              <mi>n</mi>
<br/>              <mo>−<!-- − --></mo>
<br/>              <mi>k</mi>
<br/>              <mo stretchy="false">)</mo>
<br/>              <mo>!</mo>
<br/>              <mi>k</mi>
<br/>              <mo>!</mo>
<br/>            </mrow>
<br/>          </mfrac>
<br/>        </mrow>
<br/>        <mspace width="thinmathspace"></mspace>
<br/>        <msup>
<br/>          <mrow>
<br/>            <mo>(</mo>
<br/>            <mrow class="MJX-TeXAtom-ORD">
<br/>              <mfrac>
<br/>                <mi>x</mi>
<br/>                <mn>2</mn>
<br/>              </mfrac>
<br/>            </mrow>
<br/>            <mo>)</mo>
<br/>          </mrow>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mi>k</mi>
<br/>          </mrow>
<br/>        </msup>
<br/>        <mo>.</mo>
<br/>      </mstyle>
<br/>    </mrow>
<br/>    <annotation encoding="application/x-tex">{\\\\displaystyle y_{n}(x)=\\\\sum _{k=0}^{n}{\\rac {(n+k)!}{(n-k)!k!}}\\\\,\\\\left({\\rac {x}{2}}\\
ight)^{k}.}</annotation>
<br/>  </semantics>
<br/></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4885cc59d46294c324dda69a68349f61982abaee" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -3.171ex; width:29.998ex; height:7.009ex;" alt="{\\\\displaystyle y_{n}(x)=\\\\sum _{k=0}^{n}{\\rac {(n+k)!}{(n-k)!k!}}\\\\,\\\\left({\\rac {x}{2}}\\
ight)^{k}.}"></span></dd></dl>
<br/>Another definition, favored by electrical engineers, is sometimes known as the <b>reverse Bessel polynomials</b> 
<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 \\	heta _{n}(x)=x^{n}\\\\,y_{n}(1/x)=\\\\sum _{k=0}^{n}{\\rac {(n+k)!}{(n-k)!k!}}\\\\,{\\rac {x^{n-k}}{2^{k}}}.}">
<br/>  <semantics>
<br/>    <mrow class="MJX-TeXAtom-ORD">
<br/>      <mstyle displaystyle="true" scriptlevel="0">
<br/>        <msub>
<br/>          <mi>θ<!-- θ --></mi>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mi>n</mi>
<br/>          </mrow>
<br/>        </msub>
<br/>        <mo stretchy="false">(</mo>
<br/>        <mi>x</mi>
<br/>        <mo stretchy="false">)</mo>
<br/>        <mo>=</mo>
<br/>        <msup>
<br/>          <mi>x</mi>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mi>n</mi>
<br/>          </mrow>
<br/>        </msup>
<br/>        <mspace width="thinmathspace"></mspace>
<br/>        <msub>
<br/>          <mi>y</mi>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mi>n</mi>
<br/>          </mrow>
<br/>        </msub>
<br/>        <mo stretchy="false">(</mo>
<br/>        <mn>1</mn>
<br/>        <mrow class="MJX-TeXAtom-ORD">
<br/>          <mo>/</mo>
<br/>        </mrow>
<br/>        <mi>x</mi>
<br/>        <mo stretchy="false">)</mo>
<br/>        <mo>=</mo>
<br/>        <munderover>
<br/>          <mo>∑<!-- ∑ --></mo>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mi>k</mi>
<br/>            <mo>=</mo>
<br/>            <mn>0</mn>
<br/>          </mrow>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mi>n</mi>
<br/>          </mrow>
<br/>        </munderover>
<br/>        <mrow class="MJX-TeXAtom-ORD">
<br/>          <mfrac>
<br/>            <mrow>
<br/>              <mo stretchy="false">(</mo>
<br/>              <mi>n</mi>
<br/>              <mo>+</mo>
<br/>              <mi>k</mi>
<br/>              <mo stretchy="false">)</mo>
<br/>              <mo>!</mo>
<br/>            </mrow>
<br/>            <mrow>
<br/>              <mo stretchy="false">(</mo>
<br/>              <mi>n</mi>
<br/>              <mo>−<!-- − --></mo>
<br/>              <mi>k</mi>
<br/>              <mo stretchy="false">)</mo>
<br/>              <mo>!</mo>
<br/>              <mi>k</mi>
<br/>              <mo>!</mo>
<br/>            </mrow>
<br/>          </mfrac>
<br/>        </mrow>
<br/>        <mspace width="thinmathspace"></mspace>
<br/>        <mrow class="MJX-TeXAtom-ORD">
<br/>          <mfrac>
<br/>            <msup>
<br/>              <mi>x</mi>
<br/>              <mrow class="MJX-TeXAtom-ORD">
<br/>                <mi>n</mi>
<br/>                <mo>−<!-- − --></mo>
<br/>                <mi>k</mi>
<br/>              </mrow>
<br/>            </msup>
<br/>            <msup>
<br/>              <mn>2</mn>
<br/>              <mrow class="MJX-TeXAtom-ORD">
<br/>                <mi>k</mi>
<br/>              </mrow>
<br/>            </msup>
<br/>          </mfrac>
<br/>        </mrow>
<br/>        <mo>.</mo>
<br/>      </mstyle>
<br/>    </mrow>
<br/>    <annotation encoding="application/x-tex">{\\\\displaystyle \\	heta _{n}(x)=x^{n}\\\\,y_{n}(1/x)=\\\\sum _{k=0}^{n}{\\rac {(n+k)!}{(n-k)!k!}}\\\\,{\\rac {x^{n-k}}{2^{k}}}.}</annotation>
<br/>  </semantics>
<br/></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f061e64559d0bec6d168028cd70ec12925cf0480" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -3.171ex; width:43.294ex; height:7.009ex;" alt="{\\\\displaystyle \\	heta _{n}(x)=x^{n}\\\\,y_{n}(1/x)=\\\\sum _{k=0}^{n}{\\rac {(n+k)!}{(n-k)!k!}}\\\\,{\\rac {x^{n-k}}{2^{k}}}.}"></span></dd></dl>
<br/>The coefficients of the second definition are the same as the first but in reverse order. For example, the third-degree Bessel polynomial is
<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 y_{3}(x)=15x^{3}+15x^{2}+6x+1}">
<br/>  <semantics>
<br/>    <mrow class="MJX-TeXAtom-ORD">
<br/>      <mstyle displaystyle="true" scriptlevel="0">
<br/>        <msub>
<br/>          <mi>y</mi>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mn>3</mn>
<br/>          </mrow>
<br/>        </msub>
<br/>        <mo stretchy="false">(</mo>
<br/>        <mi>x</mi>
<br/>        <mo stretchy="false">)</mo>
<br/>        <mo>=</mo>
<br/>        <mn>15</mn>
<br/>        <msup>
<br/>          <mi>x</mi>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mn>3</mn>
<br/>          </mrow>
<br/>        </msup>
<br/>        <mo>+</mo>
<br/>        <mn>15</mn>
<br/>        <msup>
<br/>          <mi>x</mi>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mn>2</mn>
<br/>          </mrow>
<br/>        </msup>
<br/>        <mo>+</mo>
<br/>        <mn>6</mn>
<br/>        <mi>x</mi>
<br/>        <mo>+</mo>
<br/>        <mn>1</mn>
<br/>      </mstyle>
<br/>    </mrow>
<br/>    <annotation encoding="application/x-tex">{\\\\displaystyle y_{3}(x)=15x^{3}+15x^{2}+6x+1}</annotation>
<br/>  </semantics>
<br/></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7e829f8801baff60b6ee0c811d38a16d475a094b" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:30.024ex; height:3.176ex;" alt="{\\\\displaystyle y_{3}(x)=15x^{3}+15x^{2}+6x+1}"></span></dd></dl>
<br/>while the third-degree reverse Bessel polynomial is
<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 \\	heta _{3}(x)=x^{3}+6x^{2}+15x+15.}">
<br/>  <semantics>
<br/>    <mrow class="MJX-TeXAtom-ORD">
<br/>      <mstyle displaystyle="true" scriptlevel="0">
<br/>        <msub>
<br/>          <mi>θ<!-- θ --></mi>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mn>3</mn>
<br/>          </mrow>
<br/>        </msub>
<br/>        <mo stretchy="false">(</mo>
<br/>        <mi>x</mi>
<br/>        <mo stretchy="false">)</mo>
<br/>        <mo>=</mo>
<br/>        <msup>
<br/>          <mi>x</mi>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mn>3</mn>
<br/>          </mrow>
<br/>        </msup>
<br/>        <mo>+</mo>
<br/>        <mn>6</mn>
<br/>        <msup>
<br/>          <mi>x</mi>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mn>2</mn>
<br/>          </mrow>
<br/>        </msup>
<br/>        <mo>+</mo>
<br/>        <mn>15</mn>
<br/>        <mi>x</mi>
<br/>        <mo>+</mo>
<br/>        <mn>15.</mn>
<br/>      </mstyle>
<br/>    </mrow>
<br/>    <annotation encoding="application/x-tex">{\\\\displaystyle \\	heta _{3}(x)=x^{3}+6x^{2}+15x+15.}</annotation>
<br/>  </semantics>
<br/></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/305a6799a1326d6ade9088d1690bffb4bb80226a" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:29.46ex; height:3.176ex;" alt="{\\\\displaystyle \\	heta _{3}(x)=x^{3}+6x^{2}+15x+15.}"></span></dd></dl>
<br/>The reverse Bessel polynomial is used in the design of Bessel electronic filters. 
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Bessel_polynomials">https://en.wikipedia.org/wiki/Bessel_polynomials</a>)"""@en, """En mathématiques, les <b>polynômes de Bessel</b> sont une suite de polynômes orthogonaux. Il en existe plusieurs définitions, mais toutes liées. La définition la plus courante est celle donnée par la somme:
<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 y_{n}(x)=\\\\sum _{k=0}^{n}{\\rac {(n+k)!}{(n-k)!\\\\,k!}}\\\\,\\\\left({\\rac {x}{2}}\\
ight)^{k}}">
<br/>  <semantics>
<br/>    <mrow class="MJX-TeXAtom-ORD">
<br/>      <mstyle displaystyle="true" scriptlevel="0">
<br/>        <msub>
<br/>          <mi>y</mi>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mi>n</mi>
<br/>          </mrow>
<br/>        </msub>
<br/>        <mo stretchy="false">(</mo>
<br/>        <mi>x</mi>
<br/>        <mo stretchy="false">)</mo>
<br/>        <mo>=</mo>
<br/>        <munderover>
<br/>          <mo>∑<!-- ∑ --></mo>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mi>k</mi>
<br/>            <mo>=</mo>
<br/>            <mn>0</mn>
<br/>          </mrow>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mi>n</mi>
<br/>          </mrow>
<br/>        </munderover>
<br/>        <mrow class="MJX-TeXAtom-ORD">
<br/>          <mfrac>
<br/>            <mrow>
<br/>              <mo stretchy="false">(</mo>
<br/>              <mi>n</mi>
<br/>              <mo>+</mo>
<br/>              <mi>k</mi>
<br/>              <mo stretchy="false">)</mo>
<br/>              <mo>!</mo>
<br/>            </mrow>
<br/>            <mrow>
<br/>              <mo stretchy="false">(</mo>
<br/>              <mi>n</mi>
<br/>              <mo>−<!-- − --></mo>
<br/>              <mi>k</mi>
<br/>              <mo stretchy="false">)</mo>
<br/>              <mo>!</mo>
<br/>              <mspace width="thinmathspace"></mspace>
<br/>              <mi>k</mi>
<br/>              <mo>!</mo>
<br/>            </mrow>
<br/>          </mfrac>
<br/>        </mrow>
<br/>        <mspace width="thinmathspace"></mspace>
<br/>        <msup>
<br/>          <mrow>
<br/>            <mo>(</mo>
<br/>            <mrow class="MJX-TeXAtom-ORD">
<br/>              <mfrac>
<br/>                <mi>x</mi>
<br/>                <mn>2</mn>
<br/>              </mfrac>
<br/>            </mrow>
<br/>            <mo>)</mo>
<br/>          </mrow>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mi>k</mi>
<br/>          </mrow>
<br/>        </msup>
<br/>      </mstyle>
<br/>    </mrow>
<br/>    <annotation encoding="application/x-tex">{\\\\displaystyle y_{n}(x)=\\\\sum _{k=0}^{n}{\\rac {(n+k)!}{(n-k)!\\\\,k!}}\\\\,\\\\left({\\rac {x}{2}}\\
ight)^{k}}</annotation>
<br/>  </semantics>
<br/></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0eb25a04119fcd4cccb49297b11962de21f078bb" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -3.171ex; width:29.738ex; height:7.009ex;" alt="{\\\\displaystyle y_{n}(x)=\\\\sum _{k=0}^{n}{\\rac {(n+k)!}{(n-k)!\\\\,k!}}\\\\,\\\\left({\\rac {x}{2}}\\
ight)^{k}}"></span></dd></dl>
<br/>Une autre définition, préférée dans le traitement du signal, est parfois appelée <b>polynômes de Bessel inverses</b> ,&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 \\	heta _{n}(x)=x^{n}\\\\,y_{n}\\\\left({\\rac {1}{x}}\\
ight)=\\\\sum _{k=0}^{n}{\\rac {(n+k)!}{(n-k)!\\\\,k!}}\\\\,{\\rac {x^{n-k}}{2^{k}}}}">
<br/>  <semantics>
<br/>    <mrow class="MJX-TeXAtom-ORD">
<br/>      <mstyle displaystyle="true" scriptlevel="0">
<br/>        <msub>
<br/>          <mi>θ<!-- θ --></mi>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mi>n</mi>
<br/>          </mrow>
<br/>        </msub>
<br/>        <mo stretchy="false">(</mo>
<br/>        <mi>x</mi>
<br/>        <mo stretchy="false">)</mo>
<br/>        <mo>=</mo>
<br/>        <msup>
<br/>          <mi>x</mi>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mi>n</mi>
<br/>          </mrow>
<br/>        </msup>
<br/>        <mspace width="thinmathspace"></mspace>
<br/>        <msub>
<br/>          <mi>y</mi>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mi>n</mi>
<br/>          </mrow>
<br/>        </msub>
<br/>        <mrow>
<br/>          <mo>(</mo>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mfrac>
<br/>              <mn>1</mn>
<br/>              <mi>x</mi>
<br/>            </mfrac>
<br/>          </mrow>
<br/>          <mo>)</mo>
<br/>        </mrow>
<br/>        <mo>=</mo>
<br/>        <munderover>
<br/>          <mo>∑<!-- ∑ --></mo>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mi>k</mi>
<br/>            <mo>=</mo>
<br/>            <mn>0</mn>
<br/>          </mrow>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mi>n</mi>
<br/>          </mrow>
<br/>        </munderover>
<br/>        <mrow class="MJX-TeXAtom-ORD">
<br/>          <mfrac>
<br/>            <mrow>
<br/>              <mo stretchy="false">(</mo>
<br/>              <mi>n</mi>
<br/>              <mo>+</mo>
<br/>              <mi>k</mi>
<br/>              <mo stretchy="false">)</mo>
<br/>              <mo>!</mo>
<br/>            </mrow>
<br/>            <mrow>
<br/>              <mo stretchy="false">(</mo>
<br/>              <mi>n</mi>
<br/>              <mo>−<!-- − --></mo>
<br/>              <mi>k</mi>
<br/>              <mo stretchy="false">)</mo>
<br/>              <mo>!</mo>
<br/>              <mspace width="thinmathspace"></mspace>
<br/>              <mi>k</mi>
<br/>              <mo>!</mo>
<br/>            </mrow>
<br/>          </mfrac>
<br/>        </mrow>
<br/>        <mspace width="thinmathspace"></mspace>
<br/>        <mrow class="MJX-TeXAtom-ORD">
<br/>          <mfrac>
<br/>            <msup>
<br/>              <mi>x</mi>
<br/>              <mrow class="MJX-TeXAtom-ORD">
<br/>                <mi>n</mi>
<br/>                <mo>−<!-- − --></mo>
<br/>                <mi>k</mi>
<br/>              </mrow>
<br/>            </msup>
<br/>            <msup>
<br/>              <mn>2</mn>
<br/>              <mrow class="MJX-TeXAtom-ORD">
<br/>                <mi>k</mi>
<br/>              </mrow>
<br/>            </msup>
<br/>          </mfrac>
<br/>        </mrow>
<br/>      </mstyle>
<br/>    </mrow>
<br/>    <annotation encoding="application/x-tex">{\\\\displaystyle \\	heta _{n}(x)=x^{n}\\\\,y_{n}\\\\left({\\rac {1}{x}}\\
ight)=\\\\sum _{k=0}^{n}{\\rac {(n+k)!}{(n-k)!\\\\,k!}}\\\\,{\\rac {x^{n-k}}{2^{k}}}}</annotation>
<br/>  </semantics>
<br/></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4fbcc89dcea610cf4e65f5e54e9218e919fd7bc8" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -3.171ex; width:43.544ex; height:7.009ex;" alt="{\\\\displaystyle \\	heta _{n}(x)=x^{n}\\\\,y_{n}\\\\left({\\rac {1}{x}}\\
ight)=\\\\sum _{k=0}^{n}{\\rac {(n+k)!}{(n-k)!\\\\,k!}}\\\\,{\\rac {x^{n-k}}{2^{k}}}}"></span></dd></dl>
<br/>Les coefficients de la deuxième définition sont les mêmes que dans la première, mais l'ordre des monômes est inversé. On a ainsi, par exemple pour l'ordre 3&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 y_{3}(x)=15x^{3}+15x^{2}+6x+1\\\\quad \\\\mathrm {et} \\\\quad \\	heta _{3}(x)=x^{3}+6x^{2}+15x+15\\\\,}">
<br/>  <semantics>
<br/>    <mrow class="MJX-TeXAtom-ORD">
<br/>      <mstyle displaystyle="true" scriptlevel="0">
<br/>        <msub>
<br/>          <mi>y</mi>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mn>3</mn>
<br/>          </mrow>
<br/>        </msub>
<br/>        <mo stretchy="false">(</mo>
<br/>        <mi>x</mi>
<br/>        <mo stretchy="false">)</mo>
<br/>        <mo>=</mo>
<br/>        <mn>15</mn>
<br/>        <msup>
<br/>          <mi>x</mi>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mn>3</mn>
<br/>          </mrow>
<br/>        </msup>
<br/>        <mo>+</mo>
<br/>        <mn>15</mn>
<br/>        <msup>
<br/>          <mi>x</mi>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mn>2</mn>
<br/>          </mrow>
<br/>        </msup>
<br/>        <mo>+</mo>
<br/>        <mn>6</mn>
<br/>        <mi>x</mi>
<br/>        <mo>+</mo>
<br/>        <mn>1</mn>
<br/>        <mspace width="1em"></mspace>
<br/>        <mrow class="MJX-TeXAtom-ORD">
<br/>          <mi mathvariant="normal">e</mi>
<br/>          <mi mathvariant="normal">t</mi>
<br/>        </mrow>
<br/>        <mspace width="1em"></mspace>
<br/>        <msub>
<br/>          <mi>θ<!-- θ --></mi>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mn>3</mn>
<br/>          </mrow>
<br/>        </msub>
<br/>        <mo stretchy="false">(</mo>
<br/>        <mi>x</mi>
<br/>        <mo stretchy="false">)</mo>
<br/>        <mo>=</mo>
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<br/>          <mi>x</mi>
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<br/>            <mn>3</mn>
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<br/>        <mo>+</mo>
<br/>        <mn>6</mn>
<br/>        <msup>
<br/>          <mi>x</mi>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mn>2</mn>
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<br/>    <annotation encoding="application/x-tex">{\\\\displaystyle y_{3}(x)=15x^{3}+15x^{2}+6x+1\\\\quad \\\\mathrm {et} \\\\quad \\	heta _{3}(x)=x^{3}+6x^{2}+15x+15\\\\,}</annotation>
<br/>  </semantics>
<br/></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/d34cac5b0530823d68390b558cde6f3c77b621d8" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:65.807ex; height:3.176ex;" alt="{\\\\displaystyle y_{3}(x)=15x^{3}+15x^{2}+6x+1\\\\quad \\\\mathrm {et} \\\\quad \\	heta _{3}(x)=x^{3}+6x^{2}+15x+15\\\\,}"></span></dd></dl>
<br/>Cette deuxième famille est utilisée dans la conception des filtres de Bessel.
<br/> 
<br/>(Wikipedia, L'Encylopédie Libre, <a href="https://fr.wikipedia.org/wiki/Polyn%C3%B4me_de_Bessel">https://fr.wikipedia.org/wiki/Polyn%C3%B4me_de_Bessel</a>)"""@fr ;
  skos:prefLabel "polynôme de Bessel"@fr, "Bessel polynomial"@en ;
  skos:inScheme psr: ;
  skos:exactMatch <https://en.wikipedia.org/wiki/Bessel_polynomials>, <https://fr.wikipedia.org/wiki/Polyn%C3%B4me_de_Bessel> ;
  a skos:Concept .

psr:-N2QX9K1Z-L
  skos:prefLabel "orthogonal polynomials"@en, "polynômes orthogonaux"@fr ;
  a skos:Concept ;
  skos:narrower psr:-VRKMFV4J-6 .

psr:-VZ83B143-L
  skos:prefLabel "fonction hypergéométrique"@fr, "hypergeometric function"@en ;
  a skos:Concept ;
  skos:narrower psr:-VRKMFV4J-6 .