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DLMF:8.21.E18 - MaRDI portal

DLMF:8.21.E18 (Q3438)

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DLMF:8.21.E18
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    Statements

    DLMF defining formula
    f ⁢ ( a , z ) = si ⁡ ( a , z ) ⁢ cos ⁡ z - ci ⁡ ( a , z ) ⁢ sin ⁡ z , 𝑓 𝑎 𝑧 generalized-sine-integral-si 𝑎 𝑧 𝑧 generalized-cosine-integral-ci 𝑎 𝑧 𝑧 {\displaystyle{\displaystyle f(a,z)=\mathrm{si}\left(a,z\right)\cos z-\mathrm{% ci}\left(a,z\right)\sin z,}}
    0 references
    Symbols used
    cosine function
    DLMF defining formula
    cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    xml-id
    C4.S14.E2.m2addec
    0 references
    generalized cosine integral
    DLMF defining formula
    ci ⁡ ( a , z ) generalized-cosine-integral-ci 𝑎 𝑧 {\displaystyle{\displaystyle\mathrm{ci}\left(\NVar{a},\NVar{z}\right)}}
    xml-id
    C8.S21.E1.m2addec
    0 references
    generalized sine integral
    DLMF defining formula
    si ⁡ ( a , z ) generalized-sine-integral-si 𝑎 𝑧 {\displaystyle{\displaystyle\mathrm{si}\left(\NVar{a},\NVar{z}\right)}}
    xml-id
    C8.S21.E1.m3addec
    0 references
    sine function
    DLMF defining formula
    sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}
    xml-id
    C4.S14.E1.m2addec
    0 references
    complex variable
    DLMF defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C8.S1.XMD2.m1ndec
    0 references
    parameter
    DLMF defining formula
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C8.S1.XMD3.m1odec
    0 references
     
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