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DLMF:10.21.E55 - MaRDI portal

DLMF:10.21.E55 (Q4068)

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DLMF:10.21.E55
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    Statements

    DLMF defining formula
    σ n ⁡ ( ν ) = ∑ m = 1 ∞ ( j ν , m ) - 2 ⁢ n , Rayleigh-function 𝑛 𝜈 superscript subscript 𝑚 1 superscript subscript 𝑗 𝜈 𝑚 2 𝑛 {\displaystyle{\displaystyle\sigma_{n}\left(\nu\right)=\sum_{m=1}^{\infty}(j_{% \nu,m})^{-2n},}}
    0 references
    constraint
    n = 1 , 2 , 3 , … 𝑛 1 2 3 … {\displaystyle{\displaystyle n=1,2,3,\dots}}
    0 references
    Symbols used
    integer
    DLMF defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C10.S1.XMD1.m1wdec
    0 references
    integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C10.S1.XMD2.m1fdec
    0 references
    complex parameter
    DLMF defining formula
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C10.S1.XMD7.m1andec
    0 references

    Identifiers

     
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