DLMF:18.9.E13 (Q5609)

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DLMF:18.9.E13
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    Statements

    Defining formula
    L n ( α ) ⁡ ( x ) = L n ( α + 1 ) ⁡ ( x ) - L n - 1 ( α + 1 ) ⁡ ( x ) , Laguerre-polynomial-L 𝛼 𝑛 𝑥 Laguerre-polynomial-L 𝛼 1 𝑛 𝑥 Laguerre-polynomial-L 𝛼 1 𝑛 1 𝑥 {\displaystyle{\displaystyle L^{(\alpha)}_{n}\left(x\right)=L^{(\alpha+1)}_{n}% \left(x\right)-L^{(\alpha+1)}_{n-1}\left(x\right),}}
    0 references
    DLMF id
    DLMF:18.9.E13
    0 references
    Symbols used
    Q11333
    Defining formula
    L n ( α ) ⁡ ( x ) Laguerre-polynomial-L 𝛼 𝑛 𝑥 {\displaystyle{\displaystyle L^{(\NVar{\alpha})}_{\NVar{n}}\left(\NVar{x}% \right)}}
    xml-id
    C18.S3.T1.t1.r12.m2aadec
    0 references
    Q11726
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S1.XMD6.m1mdec
    0 references
    Q11727
    Defining formula
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C18.S2.XMD3.m1ldec
    0 references
     
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