DLMF:18.6.E1 (Q5564)

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DLMF:18.6.E1
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    Statements

    Defining formula
    L n ( α ) ⁡ ( 0 ) = ( α + 1 ) n n ! . Laguerre-polynomial-L 𝛼 𝑛 0 Pochhammer 𝛼 1 𝑛 𝑛 {\displaystyle{\displaystyle L^{(\alpha)}_{n}\left(0\right)=\frac{{\left(% \alpha+1\right)_{n}}}{n!}.}}
    0 references
    DLMF id
    DLMF:18.6.E1
    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.m2adec
    0 references
    Q10759
    Defining formula
    ( a ) n Pochhammer 𝑎 𝑛 {\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}
    xml-id
    C5.S2.SS3.m1adec
    0 references
     
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