DLMF:2.10.E30 (Q1017)

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DLMF:2.10.E30
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    Statements

    Defining formula
    f ⁢ ( z ) - g ⁢ ( z ) = O ⁡ ( ( z - z j ) σ j - 1 ) , 𝑓 𝑧 𝑔 𝑧 Big-O superscript 𝑧 subscript 𝑧 𝑗 subscript 𝜎 𝑗 1 {\displaystyle{\displaystyle f(z)-g(z)=O\left((z-z_{j})^{\sigma_{j}-1}\right),}}
    0 references
    DLMF id
    DLMF:2.10.E30
    0 references
    constraint
    z → z j → 𝑧 subscript 𝑧 𝑗 {\displaystyle{\displaystyle z\to z_{j}}}
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    Symbols used
    order not exceeding
    Defining formula
    O ⁡ ( x ) Big-O 𝑥 {\displaystyle{\displaystyle O\left(\NVar{x}\right)}}
    xml-id
    C2.S1.E3.m2afdec
    0 references
    Q11127
    Defining formula
    f ⁢ ( x ) 𝑓 𝑥 {\displaystyle{\displaystyle f(x)}}
    xml-id
    C2.S10.XMD13.m1cdec
    0 references
    Q11131
    Defining formula
    g ⁢ ( z ) 𝑔 𝑧 {\displaystyle{\displaystyle g(z)}}
    xml-id
    C2.S10.XMD17.m1bdec
    0 references
    Q11133
    Defining formula
    σ j subscript 𝜎 𝑗 {\displaystyle{\displaystyle\sigma_{j}}}
    xml-id
    C2.S10.XMD19.m1dec
    0 references
     
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