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DLMF:9.10.E9 - MaRDI portal

DLMF:9.10.E9 (Q3589)

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DLMF:9.10.E9
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    Statements

    DLMF defining formula
    ∫ z 2 ⁢ w ⁢ ( z ) ⁢ d z = z ⁢ w ′ ⁢ ( z ) - w ⁢ ( z ) , superscript 𝑧 2 𝑤 𝑧 𝑧 𝑧 superscript 𝑤 ′ 𝑧 𝑤 𝑧 {\displaystyle{\displaystyle\int z^{2}w(z)\mathrm{d}z=zw^{\prime}(z)-w(z),}}
    0 references
    Symbols used
    differential of x
    DLMF defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1ahdec
    0 references
    integral
    DLMF defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3ahdec
    0 references
    complex variable
    DLMF defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C9.S1.XMD3.m1ddec
    0 references
    ODE solution (locally)
    DLMF defining formula
    w 𝑤 {\displaystyle{\displaystyle w}}
    xml-id
    C9.S2.XMD1.m1adec
    0 references

    Identifiers

     
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