DLMF:6.6.E6 (Q2253): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q10755 / rank
 
Normal rank
Property / Symbols used: Q10755 / qualifier
 
test:

! {\displaystyle{\displaystyle!}}

!
Property / Symbols used: Q10755 / qualifier
 
xml-id: introduction.Sx4.p1.t1.r15.m5aedec
Property / Symbols used
 
Property / Symbols used: principal branch of logarithm function / rank
 
Normal rank
Property / Symbols used: principal branch of logarithm function / qualifier
 
test:

ln z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}

\ln@@{\NVar{z}}
Property / Symbols used: principal branch of logarithm function / qualifier
 
xml-id: C4.S2.E2.m2acdec
Property / Symbols used
 
Property / Symbols used: Q11305 / rank
 
Normal rank
Property / Symbols used: Q11305 / qualifier
 
test:

z 𝑧 {\displaystyle{\displaystyle z}}

z
Property / Symbols used: Q11305 / qualifier
 
xml-id: C6.S1.XMD2.m1ddec
Property / Symbols used
 
Property / Symbols used: Q11308 / rank
 
Normal rank
Property / Symbols used: Q11308 / qualifier
 
test:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q11308 / qualifier
 
xml-id: C6.S1.XMD3.m1edec

Latest revision as of 01:25, 2 January 2020

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English
DLMF:6.6.E6
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    Statements

    Ci ( z ) = γ + ln z + n = 1 ( - 1 ) n z 2 n ( 2 n ) ! ( 2 n ) . cosine-integral 𝑧 𝑧 superscript subscript 𝑛 1 superscript 1 𝑛 superscript 𝑧 2 𝑛 2 𝑛 2 𝑛 {\displaystyle{\displaystyle\mathrm{Ci}\left(z\right)=\gamma+\ln z+\sum_{n=1}^% {\infty}\frac{(-1)^{n}z^{2n}}{(2n)!(2n)}.}}
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    γ {\displaystyle{\displaystyle\gamma}}
    C5.S2.E3.m2abdec
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    Ci ( z ) cosine-integral 𝑧 {\displaystyle{\displaystyle\mathrm{Ci}\left(\NVar{z}\right)}}
    C6.S2.E11.m2adec
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    ! {\displaystyle{\displaystyle!}}
    introduction.Sx4.p1.t1.r15.m5aedec
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    ln z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    C4.S2.E2.m2acdec
    0 references
    z 𝑧 {\displaystyle{\displaystyle z}}
    C6.S1.XMD2.m1ddec
    0 references
    n 𝑛 {\displaystyle{\displaystyle n}}
    C6.S1.XMD3.m1edec
    0 references