DLMF:7.10.E3 (Q2400)

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DLMF:7.10.E3
No description defined

    Statements

    Defining formula
    w ( n + 2 ) ⁡ ( z ) + 2 ⁢ z ⁢ w ( n + 1 ) ⁡ ( z ) + 2 ⁢ ( n + 1 ) ⁢ w ( n ) ⁡ ( z ) = 0 , error-function-w 𝑛 2 𝑧 2 𝑧 error-function-w 𝑛 1 𝑧 2 𝑛 1 error-function-w 𝑛 𝑧 0 {\displaystyle{\displaystyle{{w^{(n+2)}}\left(z\right)+2z{w^{(n+1)}}\left(z% \right)+2(n+1){w^{(n)}}\left(z\right)=0},}}
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    DLMF id
    DLMF:7.10.E3
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    constraint
    n = 0 , 1 , 2 , … 𝑛 0 1 2 … {\displaystyle{\displaystyle n=0,1,2,\dots}}
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    Symbols used
    Faddeeva (or Faddeyeva) function
    Defining formula
    w ⁡ ( z ) error-function-w 𝑧 {\displaystyle{\displaystyle w\left(\NVar{z}\right)}}
    xml-id
    C7.S2.E3.m2aadec
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    Q11312
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C7.S1.XMD2.m1bdec
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    Q11314
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C7.S1.XMD3.m1adec
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