DLMF:6.12.E3 (Q2291)

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DLMF:6.12.E3
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    Statements

    Defining formula
    f ⁡ ( z ) ∼ 1 z ⁢ ( 1 - 2 ! z 2 + 4 ! z 4 - 6 ! z 6 + ⋯ ) , asymptotic-expansion sine-cosine-integral-f 𝑧 1 𝑧 1 2 superscript 𝑧 2 4 superscript 𝑧 4 6 superscript 𝑧 6 ⋯ {\displaystyle{\displaystyle\mathrm{f}\left(z\right)\sim\frac{1}{z}\left(1-% \frac{2!}{z^{2}}+\frac{4!}{z^{4}}-\frac{6!}{z^{6}}+\cdots\right),}}
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    DLMF id
    DLMF:6.12.E3
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    Symbols used
    Q10931
    Defining formula
    ∼ asymptotic-expansion {\displaystyle{\displaystyle\sim}}
    xml-id
    C2.S1.SS3.p1.m11abdec
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    Q10755
    Defining formula
    ! {\displaystyle{\displaystyle!}}
    xml-id
    introduction.Sx4.p1.t1.r15.m5abdec
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    auxiliary function for sine and cosine integrals
    Defining formula
    f ⁡ ( z ) sine-cosine-integral-f 𝑧 {\displaystyle{\displaystyle\mathrm{f}\left(\NVar{z}\right)}}
    xml-id
    C6.S2.E17.m2adec
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    Q11305
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C6.S1.XMD2.m1adec
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