DLMF:19.21.E15 (Q7131)

From MaRDI portal
Revision as of 23:30, 10 July 2023 by DlmfSeedBot1 (talk | contribs) (‎Changed an Item: Mark DLMF formulae as such)





No description defined
Language Label Description Also known as
English
DLMF:19.21.E15
No description defined

    Statements

    DLMF defining formula
    p ⁢ R J ⁡ ( 0 , y , z , p ) + q ⁢ R J ⁡ ( 0 , y , z , q ) = 3 ⁢ R F ⁡ ( 0 , y , z ) , 𝑝 Carlson-integral-RJ 0 𝑦 𝑧 𝑝 𝑞 Carlson-integral-RJ 0 𝑦 𝑧 𝑞 3 Carlson-integral-RF 0 𝑦 𝑧 {\displaystyle{\displaystyle pR_{J}\left(0,y,z,p\right)+qR_{J}\left(0,y,z,q% \right)=3R_{F}\left(0,y,z\right),}}
    0 references
    constraint
    p ⁢ q = y ⁢ z 𝑝 𝑞 𝑦 𝑧 {\displaystyle{\displaystyle pq=yz}}
    0 references
    Symbols used
    symmetric elliptic integral of first kind
    DLMF defining formula
    R F ⁡ ( x , y , z ) Carlson-integral-RF 𝑥 𝑦 𝑧 {\displaystyle{\displaystyle R_{F}\left(\NVar{x},\NVar{y},\NVar{z}\right)}}
    xml-id
    C19.S16.E1.m2akdec
    0 references
    symmetric elliptic integral of third kind
    DLMF defining formula
    R J ⁡ ( x , y , z , p ) Carlson-integral-RJ 𝑥 𝑦 𝑧 𝑝 {\displaystyle{\displaystyle R_{J}\left(\NVar{x},\NVar{y},\NVar{z},\NVar{p}% \right)}}
    xml-id
    C19.S16.E2.m2abdec
    0 references

    Identifiers

     
      Retrieved from "https://mardi.schubotz.org/w/index.php?title=Item:Q7131&oldid=1305952"
      Powered by MediaWiki