DLMF:8.21.E6 (Q2727): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11324 / rank
 
Normal rank
Property / Symbols used: Q11324 / qualifier
 
test:

a 𝑎 {\displaystyle{\displaystyle a}}

a
Property / Symbols used: Q11324 / qualifier
 
xml-id: C8.S1.XMD3.m1edec

Latest revision as of 13:16, 2 January 2020

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DLMF:8.21.E6
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    Statements

    test
    Si ⁡ ( a , z ) = ∫ 0 z t a - 1 ⁢ sin ⁡ t ⁢ d t , generalized-sine-integral-Si 𝑎 𝑧 superscript subscript 0 𝑧 superscript 𝑡 𝑎 1 𝑡 𝑡 {\displaystyle{\displaystyle\mathrm{Si}\left(a,z\right)=\int_{0}^{z}t^{a-1}% \sin t\mathrm{d}t,}}
    0 references
    DLMF id
    DLMF:8.21.E6
    0 references
    constraint
    ℜ ⁡ a > - 1 𝑎 1 {\displaystyle{\displaystyle\Re a>-1}}
    0 references
    Symbols used
    Q10770
    test
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1acdec
    0 references
    generalized sine integral
    test
    Si ⁡ ( a , z ) generalized-sine-integral-Si 𝑎 𝑧 {\displaystyle{\displaystyle\mathrm{Si}\left(\NVar{a},\NVar{z}\right)}}
    xml-id
    C8.S21.E2.m3aadec
    0 references
    Q10771
    test
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3acdec
    0 references
    Q10811
    test
    ℜ ⁡ absent {\displaystyle{\displaystyle\Re}}
    xml-id
    C1.S9.E2.m1acdec
    0 references
    sine function
    test
    sin ⁡ z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}
    xml-id
    C4.S14.E1.m2aadec
    0 references
    Q11323
    test
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C8.S1.XMD2.m1ddec
    0 references
    Q11324
    test
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C8.S1.XMD3.m1edec
    0 references
     
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