DLMF:8.21.E21 (Q2743)

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DLMF:8.21.E21
No description defined

    Statements

    Defining formula
    ci ⁡ ( a , z ) = - f ⁢ ( a , z ) ⁢ sin ⁡ z + g ⁢ ( a , z ) ⁢ cos ⁡ z . generalized-cosine-integral-ci 𝑎 𝑧 𝑓 𝑎 𝑧 𝑧 𝑔 𝑎 𝑧 𝑧 {\displaystyle{\displaystyle\mathrm{ci}\left(a,z\right)=-f(a,z)\sin z+g(a,z)% \cos z.}}
    0 references
    DLMF id
    DLMF:8.21.E21
    0 references
    Symbols used
    cosine function
    Defining formula
    cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    xml-id
    C4.S14.E2.m2agdec
    0 references
    generalized cosine integral
    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.m2afdec
    0 references
    sine function
    Defining formula
    sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}
    xml-id
    C4.S14.E1.m2agdec
    0 references
    Q11323
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C8.S1.XMD2.m1qdec
    0 references
    Q11324
    Defining formula
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C8.S1.XMD3.m1rdec
    0 references
    auxiliary function (locally)
    Defining formula
    f ⁢ ( a , z ) 𝑓 𝑎 𝑧 {\displaystyle{\displaystyle f(a,z)}}
    xml-id
    C8.S21.XMD1.m1bdec
    0 references
    auxiliary function (locally)
    Defining formula
    g ⁢ ( a , z ) 𝑔 𝑎 𝑧 {\displaystyle{\displaystyle g(a,z)}}
    xml-id
    C8.S21.XMD2.m1bdec
    0 references
     
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