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DLMF:8.21.E20 - MaRDI portal

DLMF:8.21.E20 (Q3440)

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DLMF:8.21.E20
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    Statements

    DLMF defining formula
    si ⁡ ( a , z ) = f ⁢ ( a , z ) ⁢ cos ⁡ z + g ⁢ ( a , z ) ⁢ sin ⁡ z , generalized-sine-integral-si 𝑎 𝑧 𝑓 𝑎 𝑧 𝑧 𝑔 𝑎 𝑧 𝑧 {\displaystyle{\displaystyle\mathrm{si}\left(a,z\right)=f(a,z)\cos z+g(a,z)% \sin z,}}
    0 references
    Symbols used
    cosine function
    DLMF defining formula
    cos ⁡ z 𝑧 {\displaystyle{\displaystyle\cos\NVar{z}}}
    xml-id
    C4.S14.E2.m2afdec
    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.m3afdec
    0 references
    sine function
    DLMF defining formula
    sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}
    xml-id
    C4.S14.E1.m2afdec
    0 references
    complex variable
    DLMF defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C8.S1.XMD2.m1pdec
    0 references
    parameter
    DLMF defining formula
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C8.S1.XMD3.m1qdec
    0 references
    auxiliary function (locally)
    DLMF defining formula
    f ⁢ ( a , z ) 𝑓 𝑎 𝑧 {\displaystyle{\displaystyle f(a,z)}}
    xml-id
    C8.S21.XMD1.m1adec
    0 references
    auxiliary function (locally)
    DLMF defining formula
    g ⁢ ( a , z ) 𝑔 𝑎 𝑧 {\displaystyle{\displaystyle g(a,z)}}
    xml-id
    C8.S21.XMD2.m1adec
    0 references

    Identifiers

     
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