DLMF:22.9.E22 (Q7014)

From DRMF
Revision as of 15:09, 2 January 2020 by Admin (talk | contribs) (‎Changed an Item: Add constraint)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:22.9.E22
No description defined

    Statements

    Defining formula
    s 1 , 3 ( 2 ) ⁢ c 1 , 3 ( 2 ) ⁢ d 2 , 3 ( 2 ) ⁢ d 3 , 3 ( 2 ) + s 2 , 3 ( 2 ) ⁢ c 2 , 3 ( 2 ) ⁢ d 3 , 3 ( 2 ) ⁢ d 1 , 3 ( 2 ) + s 3 , 3 ( 2 ) ⁢ c 3 , 3 ( 2 ) ⁢ d 1 , 3 ( 2 ) ⁢ d 2 , 3 ( 2 ) = κ 2 + k 2 - 1 1 - κ 2 ⁢ ( s 1 , 3 ( 2 ) ⁢ c 1 , 3 ( 2 ) + s 2 , 3 ( 2 ) ⁢ c 2 , 3 ( 2 ) + s 3 , 3 ( 2 ) ⁢ c 3 , 3 ( 2 ) ) , superscript subscript 𝑠 1 3 2 superscript subscript 𝑐 1 3 2 superscript subscript 𝑑 2 3 2 superscript subscript 𝑑 3 3 2 superscript subscript 𝑠 2 3 2 superscript subscript 𝑐 2 3 2 superscript subscript 𝑑 3 3 2 superscript subscript 𝑑 1 3 2 superscript subscript 𝑠 3 3 2 superscript subscript 𝑐 3 3 2 superscript subscript 𝑑 1 3 2 superscript subscript 𝑑 2 3 2 superscript 𝜅 2 superscript 𝑘 2 1 1 superscript 𝜅 2 superscript subscript 𝑠 1 3 2 superscript subscript 𝑐 1 3 2 superscript subscript 𝑠 2 3 2 superscript subscript 𝑐 2 3 2 superscript subscript 𝑠 3 3 2 superscript subscript 𝑐 3 3 2 {\displaystyle{\displaystyle s_{1,3}^{(2)}c_{1,3}^{(2)}d_{2,3}^{(2)}d_{3,3}^{(% 2)}+s_{2,3}^{(2)}c_{2,3}^{(2)}d_{3,3}^{(2)}d_{1,3}^{(2)}+s_{3,3}^{(2)}c_{3,3}^% {(2)}d_{1,3}^{(2)}d_{2,3}^{(2)}=\frac{\kappa^{2}+k^{2}-1}{1-\kappa^{2}}\left(s% _{1,3}^{(2)}c_{1,3}^{(2)}+s_{2,3}^{(2)}c_{2,3}^{(2)}+s_{3,3}^{(2)}c_{3,3}^{(2)% }\right),}}
    0 references
    DLMF id
    DLMF:22.9.E22
    0 references
    comment
    Warning: Falling back to standard tex;
    0 references
    Symbols used
    Q11984
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C22.S1.XMD4.m1jdec
    0 references
    Q11999
    Defining formula
    s m , p ( r ) superscript subscript 𝑠 𝑚 𝑝 𝑟 {\displaystyle{\displaystyle s_{m,p}^{(r)}}}
    xml-id
    C22.S9.XMD3.m1hdec
    0 references
    Q12000
    Defining formula
    c m , p ( r ) superscript subscript 𝑐 𝑚 𝑝 𝑟 {\displaystyle{\displaystyle c_{m,p}^{(r)}}}
    xml-id
    C22.S9.XMD4.m1hdec
    0 references
    Q12001
    Defining formula
    d m , p ( r ) superscript subscript 𝑑 𝑚 𝑝 𝑟 {\displaystyle{\displaystyle d_{m,p}^{(r)}}}
    xml-id
    C22.S9.XMD5.m1jdec
    0 references
    Q12002
    Defining formula
    κ 𝜅 {\displaystyle{\displaystyle\kappa}}
    xml-id
    C22.S9.XMD6.m1hdec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q7014&oldid=54779"