Funzioni polinomiali

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Funzioni polinomiali

Le funzioni riportate di seguito restituiscono il valore del polinomio elencato di grado n su x:

• Her(n, x) - Polinomio di Hermite oppure la soluzione dell'equazione seguente:

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• Lag(n, x) - Polinomio di Laguerre oppure la soluzione dell'equazione seguente:

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        <id xml:space="preserve" xml:lang="it">ny</id>
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• Leg(n, x) - Polinomio di Legendre oppure soluzione dell'equazione seguente:

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• Tcheb(n, x) - Polinomio di Chebyshev del primo tipo oppure la soluzione dell'equazione seguente:

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          <id xml:space="preserve" xml:lang="it">y</id>
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• Ucheb(n, x) - Polinomio di Chebyshev del secondo tipo oppure la soluzione dell'equazione seguente:

Fare clic per copiare questa espressione

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• Jac(n, a, b, x) - Polinomio di Jacobi con i parametri a e b oppure la soluzione all'equazione seguente:

Fare clic per copiare questa espressione

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        <apply xml:lang="it">
          <scale xml:lang="it" />
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                <id xml:space="preserve" xml:lang="it">b</id>
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          <id xml:space="preserve" xml:lang="it">y</id>
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I polinomi di Chebyshev e di Legendre sono casi speciali dei polinomi di Jacobi.

Argomenti

• n è un intero non negativo.

• x è uno scalare reale.

• a, b sono scalari reali maggiori di –1.