Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
DLMF:6.4.E7 - MaRDI portal

DLMF:6.4.E7 (Q2938)

From MaRDI portal





No description defined
Language Label Description Also known as
English
DLMF:6.4.E7
No description defined

    Statements

    DLMF defining formula
    g ⁡ ( z ⁢ e ± π ⁢ i ) = ∓ π ⁢ i ⁢ e ∓ i ⁢ z + g ⁡ ( z ) . sine-cosine-integral-g 𝑧 superscript 𝑒 plus-or-minus 𝜋 𝑖 minus-or-plus 𝜋 𝑖 superscript 𝑒 minus-or-plus 𝑖 𝑧 sine-cosine-integral-g 𝑧 {\displaystyle{\displaystyle\mathrm{g}\left(ze^{\pm\pi i}\right)=\mp\pi ie^{% \mp iz}+\mathrm{g}\left(z\right).}}
    0 references
    Symbols used
    the ratio of the circumference of a circle to its diameter
    DLMF defining formula
    π {\displaystyle{\displaystyle\pi}}
    xml-id
    C3.S12.E1.m2aedec
    0 references
    base of natural logarithm
    DLMF defining formula
    e {\displaystyle{\displaystyle\mathrm{e}}}
    xml-id
    C4.S2.E11.m2aedec
    0 references
    imaginary unit
    DLMF defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2aedec
    0 references
    auxiliary function for sine and cosine integrals
    DLMF defining formula
    g ⁡ ( z ) sine-cosine-integral-g 𝑧 {\displaystyle{\displaystyle\mathrm{g}\left(\NVar{z}\right)}}
    xml-id
    C6.S2.E18.m2adec
    0 references
    complex variable
    DLMF defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C6.S1.XMD2.m1fdec
    0 references

    Identifiers

     
    Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Item:Q2938&oldid=24162281"
    Powered by MediaWiki