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:1.9.E28 - MaRDI portal

DLMF:1.9.E28 (Q273)

From MaRDI portal
No description defined
Language Label Description Also known as
English
DLMF:1.9.E28
No description defined

    Statements

    DLMF defining formula
    ∫ C f ⁢ ( z ) ⁢ d z = ∫ a b f ⁢ ( z ⁢ ( t ) ) ⁢ ( x ′ ⁢ ( t ) + i ⁢ y ′ ⁢ ( t ) ) ⁢ d t , subscript 𝐶 𝑓 𝑧 𝑧 superscript subscript 𝑎 𝑏 𝑓 𝑧 𝑡 superscript 𝑥 ′ 𝑡 𝑖 superscript 𝑦 ′ 𝑡 𝑡 {\displaystyle{\displaystyle\int_{C}f(z)\mathrm{d}z=\int_{a}^{b}f(z(t))(x^{% \prime}(t)+iy^{\prime}(t))\mathrm{d}t,}}
    0 references
    Symbols used
    differential of x
    DLMF defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1adec
    0 references
    imaginary unit
    DLMF defining formula
    i imaginary-unit {\displaystyle{\displaystyle\mathrm{i}}}
    xml-id
    C1.S9.E1.m2aidec
    0 references
    integral
    DLMF defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3adec
    0 references
    closed contour
    DLMF defining formula
    C 𝐶 {\displaystyle{\displaystyle C}}
    xml-id
    C1.S9.XMD12.m1dec
    0 references

    Identifiers

     
    Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Item:Q273&oldid=24161051"
    Powered by MediaWiki