DLMF:18.18.E4 (Q5794)

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DLMF:18.18.E4
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    Statements

    test
    f ⁢ ( x ) = ∑ n = 0 ∞ b n ⁢ L n ( α ) ⁡ ( x ) , 𝑓 𝑥 superscript subscript 𝑛 0 subscript 𝑏 𝑛 Laguerre-polynomial-L 𝛼 𝑛 𝑥 {\displaystyle{\displaystyle f(x)=\sum_{n=0}^{\infty}b_{n}L^{(\alpha)}_{n}% \left(x\right),}}
    0 references
    DLMF id
    DLMF:18.18.E4
    0 references
    constraint
    0 < x < ∞ 0 𝑥 {\displaystyle{\displaystyle 0<x<\infty}}
    0 references
    Symbols used
    Q11333
    test
    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
    Q11726
    test
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C18.S1.XMD6.m1cdec
    0 references
    Q11762
    test
    f ⁢ ( z ) 𝑓 𝑧 {\displaystyle{\displaystyle f(z)}}
    xml-id
    C18.S18.XMD1.m1cdec
    0 references
    Q11727
    test
    x 𝑥 {\displaystyle{\displaystyle x}}
    xml-id
    C18.S2.XMD3.m1bdec
    0 references
     
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