DLMF:11.9.E3 (Q4010)

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DLMF:11.9.E3
No description defined

    Statements

    Defining formula
    s μ , ν ⁡ ( z ) = z μ + 1 ⁢ ∑ k = 0 ∞ ( - 1 ) k ⁢ z 2 ⁢ k a k + 1 ⁢ ( μ , ν ) , Lommel-s 𝜇 𝜈 𝑧 superscript 𝑧 𝜇 1 superscript subscript 𝑘 0 superscript 1 𝑘 superscript 𝑧 2 𝑘 subscript 𝑎 𝑘 1 𝜇 𝜈 {\displaystyle{\displaystyle s_{{\mu},{\nu}}\left(z\right)=z^{\mu+1}\sum_{k=0}% ^{\infty}(-1)^{k}\frac{z^{2k}}{a_{k+1}(\mu,\nu)},}}
    0 references
    DLMF id
    DLMF:11.9.E3
    0 references
    Symbols used
    Q11491
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C11.S1.XMD2.m1bdec
    0 references
    Q11492
    Defining formula
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C11.S1.XMD3.m1bdec
    0 references
    Q11497
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C11.S1.XMD5.m1dec
    0 references
    Q11504
    Defining formula
    a k ⁢ ( μ , ν ) subscript 𝑎 𝑘 𝜇 𝜈 {\displaystyle{\displaystyle a_{k}(\mu,\nu)}}
    xml-id
    C11.S9.XMD3.m1dec
    0 references
     
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