DLMF:1.10.E17 (Q372)

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DLMF:1.10.E17
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    Statements

    Defining formula
    g ⁢ ( F ⁢ ( w ) ) = g ⁢ ( z 0 ) + ∑ n = 1 ∞ G n ⁢ ( w - w 0 ) n / μ , 𝑔 𝐹 𝑤 𝑔 subscript 𝑧 0 subscript superscript 𝑛 1 subscript 𝐺 𝑛 superscript 𝑤 subscript 𝑤 0 𝑛 𝜇 {\displaystyle{\displaystyle g(F(w))=g(z_{0})+\sum^{\infty}_{n=1}G_{n}(w-w_{0}% )^{n/\mu},}}
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    DLMF id
    DLMF:1.10.E17
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    comment
    Warning: Falling back to standard tex;
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    Symbols used
    Q10760
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C1.S1.XMD1.m1odec
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    Q10789
    Defining formula
    w 𝑤 {\displaystyle{\displaystyle w}}
    xml-id
    C1.S1.XMD2.m1ddec
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    Q10757
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C1.S1.XMD7.m1gdec
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    inverse function of $$f(z)$$ (locally)
    Defining formula
    F ⁢ ( w ) 𝐹 𝑤 {\displaystyle{\displaystyle F(w)}}
    xml-id
    C1.S10.XMD13.m1cdec
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