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DLMF:1.10.E3 - MaRDI portal

DLMF:1.10.E3 (Q328)

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DLMF:1.10.E3
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    Statements

    DLMF defining formula
    ln ⁡ ( 1 + z ) = z - z 2 2 + z 3 3 - ⋯ , 1 𝑧 𝑧 superscript 𝑧 2 2 superscript 𝑧 3 3 ⋯ {\displaystyle{\displaystyle\ln\left(1+z\right)=z-\frac{z^{2}}{2}+\frac{z^{3}}% {3}-\cdots,}}
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    constraint
    | z | < 1 𝑧 1 {\displaystyle{\displaystyle|z|<1}}
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    Symbols used
    principal branch of logarithm function
    DLMF defining formula
    ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    xml-id
    C4.S2.E2.m2adec
    0 references
    variable
    DLMF defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C1.S1.XMD1.m1bdec
    0 references

    Identifiers

     
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