DLMF:19.20.E3 (Q6377): Difference between revisions

From DRMF
Jump to navigation Jump to search
← Older editNewer edit →
‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: multivariate hypergeometric function / rank
 
Normal rank
Property / Symbols used: multivariate hypergeometric function / qualifier
 
Defining formula:

R - a ⁡ ( b 1 , … , b n ; z 1 , … , z n ) Carlson-integral-R 𝑎 subscript 𝑏 1 … subscript 𝑏 𝑛 subscript 𝑧 1 … subscript 𝑧 𝑛 {\displaystyle{\displaystyle R_{\NVar{-a}}\left(\NVar{b_{1}},\dots,\NVar{b_{n}% };\NVar{z_{1}},\dots,\NVar{z_{n}}\right)}}

\Carlsonmultivarhyper{\NVar{-a}}@{\NVar{b_{1}},\dots,\NVar{b_{n}}}{\NVar{z_{1}},\dots,\NVar{z_{n}}}
Property / Symbols used: multivariate hypergeometric function / qualifier
 
xml-id: C19.S16.E9.m2adec

Revision as of 13:57, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:19.20.E3
No description defined

    Statements

    Defining formula
    R F ⁡ ( x , a , y ) = R - 1 4 ⁡ ( 3 4 , 1 2 ; a 2 , x ⁢ y ) , Carlson-integral-RF 𝑥 𝑎 𝑦 Carlson-integral-R 1 4 3 4 1 2 superscript 𝑎 2 𝑥 𝑦 {\displaystyle{\displaystyle R_{F}\left(x,a,y\right)=R_{-\frac{1}{4}}\left(% \tfrac{3}{4},\tfrac{1}{2};a^{2},xy\right),}}
    0 references
    DLMF id
    DLMF:19.20.E3
    0 references
    constraint
    a = 1 2 ⁢ ( x + y ) 𝑎 1 2 𝑥 𝑦 {\displaystyle{\displaystyle a=\frac{1}{2}(x+y)}}
    0 references
    Symbols used
    multivariate hypergeometric function
    Defining formula
    R - a ⁡ ( b 1 , … , b n ; z 1 , … , z n ) Carlson-integral-R 𝑎 subscript 𝑏 1 … subscript 𝑏 𝑛 subscript 𝑧 1 … subscript 𝑧 𝑛 {\displaystyle{\displaystyle R_{\NVar{-a}}\left(\NVar{b_{1}},\dots,\NVar{b_{n}% };\NVar{z_{1}},\dots,\NVar{z_{n}}\right)}}
    xml-id
    C19.S16.E9.m2adec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q6377&oldid=41809"