DLMF:6.2.E20 (Q2231)

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DLMF:6.2.E20
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    Statements

    Defining formula
    Ci ⁡ ( z ) = f ⁡ ( z ) ⁢ sin ⁡ z - g ⁡ ( z ) ⁢ cos ⁡ z . cosine-integral 𝑧 sine-cosine-integral-f 𝑧 𝑧 sine-cosine-integral-g 𝑧 𝑧 {\displaystyle{\displaystyle\mathrm{Ci}\left(z\right)=\mathrm{f}\left(z\right)% \sin z-\mathrm{g}\left(z\right)\cos z.}}
    0 references
    DLMF id
    DLMF:6.2.E20
    0 references
    Symbols used
    cosine function
    Defining formula
    cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    xml-id
    C4.S14.E2.m2aedec
    0 references
    cosine integral
    Defining formula
    Ci ⁡ ( z ) cosine-integral 𝑧 {\displaystyle{\displaystyle\mathrm{Ci}\left(\NVar{z}\right)}}
    xml-id
    C6.S2.E11.m2aedec
    0 references
    sine function
    Defining formula
    sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}
    xml-id
    C4.S14.E1.m2aedec
    0 references
    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.m2abdec
    0 references
    auxiliary function for sine and cosine integrals
    Defining formula
    g ⁡ ( z ) sine-cosine-integral-g 𝑧 {\displaystyle{\displaystyle\mathrm{g}\left(\NVar{z}\right)}}
    xml-id
    C6.S2.E18.m2abdec
    0 references
    Q11305
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C6.S1.XMD2.m1ndec
    0 references
     
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