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
3.3.E6 - MaRDI portal

3.3.E6 (Q1082)

From MaRDI portal
No description defined
Language Label Description Also known as
English
3.3.E6
No description defined

    Statements

    DLMF defining formula
    R n ⁢ ( z ) = ω n + 1 ⁢ ( z ) 2 ⁢ π ⁢ i ⁢ ∫ C f ⁢ ( ζ ) ( ζ - z ) ⁢ ω n + 1 ⁢ ( ζ ) ⁢ d ζ , subscript 𝑅 𝑛 𝑧 subscript 𝜔 𝑛 1 𝑧 2 imaginary-unit subscript 𝐶 𝑓 𝜁 𝜁 𝑧 subscript 𝜔 𝑛 1 𝜁 𝜁 {\displaystyle{\displaystyle R_{n}(z)=\frac{\omega_{n+1}(z)}{2\pi\mathrm{i}}% \int_{C}\frac{f(\zeta)}{(\zeta-z)\omega_{n+1}(\zeta)}\mathrm{d}\zeta,}}
    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.m2adec
    0 references
    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.m2adec
    0 references
    integral
    DLMF defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3adec
    0 references
    nodal polynomial (locally)
    DLMF defining formula
    ω n + 1 ⁢ ( z ) subscript 𝜔 𝑛 1 𝑧 {\displaystyle{\displaystyle\omega_{n+1}(z)}}
    xml-id
    C3.S3.XMD2.m1cdec
    0 references
    remainder (locally)
    DLMF defining formula
    R n ⁢ ( x ) subscript 𝑅 𝑛 𝑥 {\displaystyle{\displaystyle R_{n}(x)}}
    xml-id
    C3.S3.XMD4.m1bdec
    0 references
    simple closed contour in D
    DLMF defining formula
    C 𝐶 {\displaystyle{\displaystyle C}}
    xml-id
    C3.S3.XMD6.m1dec
    0 references

    Identifiers

     
    Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Item:Q1082&oldid=24164053"
    Powered by MediaWiki