DLMF:19.2.E21 (Q6813)

From MaRDI portal
No description defined
Language Label Description Also known as
English
DLMF:19.2.E21
No description defined

    Statements

    DLMF defining formula
    R C ⁡ ( x , y ) = ∫ 0 1 ( v 2 ⁢ x + ( 1 - v 2 ) ⁢ y ) - 1 / 2 ⁢ d v , Carlson-integral-RC 𝑥 𝑦 superscript subscript 0 1 superscript superscript 𝑣 2 𝑥 1 superscript 𝑣 2 𝑦 1 2 𝑣 {\displaystyle{\displaystyle R_{C}\left(x,y\right)=\int_{0}^{1}(v^{2}x+(1-v^{2% })y)^{-1/2}\mathrm{d}v,}}
    0 references
    Symbols used
    Carlson’s combination of inverse circular and inverse hyperbolic functions
    DLMF defining formula
    R C ⁡ ( x , y ) Carlson-integral-RC 𝑥 𝑦 {\displaystyle{\displaystyle R_{C}\left(\NVar{x},\NVar{y}\right)}}
    xml-id
    C19.S2.E17.m2addec
    0 references
    differential of x
    DLMF defining formula
    d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}
    xml-id
    C1.S4.SS4.m1ajdec
    0 references
    integral
    DLMF defining formula
    ∫ {\displaystyle{\displaystyle\int}}
    xml-id
    C1.S4.SS4.m3ajdec
    0 references

    Identifiers

     
    Retrieved from "https://portal.mardi4nfdi.de/w/index.php?title=Item:Q6813&oldid=24173449"
    Powered by MediaWiki