DLMF:8.21.E4 (Q2725): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q10811 / rank
 
Normal rank
Property / Symbols used: Q10811 / qualifier
 
test:

absent {\displaystyle{\displaystyle\Re}}

\realpart@@
Property / Symbols used: Q10811 / qualifier
 
xml-id: C1.S9.E2.m1aadec
Property / Symbols used
 
Property / Symbols used: sine function / rank
 
Normal rank
Property / Symbols used: sine function / qualifier
 
test:

sin z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}

\sin@@{\NVar{z}}
Property / Symbols used: sine function / qualifier
 
xml-id: C4.S14.E1.m2adec
Property / Symbols used
 
Property / Symbols used: Q11323 / rank
 
Normal rank
Property / Symbols used: Q11323 / qualifier
 
test:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11323 / qualifier
 
xml-id: C8.S1.XMD2.m1bdec
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.m1cdec

Latest revision as of 13:15, 2 January 2020

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DLMF:8.21.E4
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    Statements

    si ( a , z ) = z t a - 1 sin t d t , generalized-sine-integral-si 𝑎 𝑧 superscript subscript 𝑧 superscript 𝑡 𝑎 1 𝑡 𝑡 {\displaystyle{\displaystyle\mathrm{si}\left(a,z\right)=\int_{z}^{\infty}t^{a-% 1}\sin t\mathrm{d}t,}}
    0 references
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    a < 1 𝑎 1 {\displaystyle{\displaystyle\Re a<1}}
    0 references
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    C1.S4.SS4.m1aadec
    0 references
    si ( a , z ) generalized-sine-integral-si 𝑎 𝑧 {\displaystyle{\displaystyle\mathrm{si}\left(\NVar{a},\NVar{z}\right)}}
    C8.S21.E1.m3aadec
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    {\displaystyle{\displaystyle\int}}
    C1.S4.SS4.m3aadec
    0 references
    absent {\displaystyle{\displaystyle\Re}}
    C1.S9.E2.m1aadec
    0 references
    sin z 𝑧 {\displaystyle{\displaystyle\sin\NVar{z}}}
    C4.S14.E1.m2adec
    0 references
    z 𝑧 {\displaystyle{\displaystyle z}}
    C8.S1.XMD2.m1bdec
    0 references
    a 𝑎 {\displaystyle{\displaystyle a}}
    C8.S1.XMD3.m1cdec
    0 references