DLMF:22.8.E25 (Q6990): Difference between revisions

From DRMF
Jump to navigation Jump to search
← Older edit
‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
 
Property / Symbols used
 
Property / Symbols used: Q11984 / rank
 
Normal rank
Property / Symbols used: Q11984 / qualifier
 
Defining formula:

k 𝑘 {\displaystyle{\displaystyle k}}

k
Property / Symbols used: Q11984 / qualifier
 
xml-id: C22.S1.XMD4.m1edec

Latest revision as of 15:06, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:22.8.E25
No description defined

    Statements

    Defining formula
    ( dn ⁡ z 2 + dn ⁡ z 3 ) ⁢ ( dn ⁡ z 3 + dn ⁡ z 1 ) ⁢ ( dn ⁡ z 1 + dn ⁡ z 2 ) dn ⁡ z 1 + dn ⁡ z 2 + dn ⁡ z 3 Jacobi-elliptic-dn subscript 𝑧 2 𝑘 Jacobi-elliptic-dn subscript 𝑧 3 𝑘 Jacobi-elliptic-dn subscript 𝑧 3 𝑘 Jacobi-elliptic-dn subscript 𝑧 1 𝑘 Jacobi-elliptic-dn subscript 𝑧 1 𝑘 Jacobi-elliptic-dn subscript 𝑧 2 𝑘 Jacobi-elliptic-dn subscript 𝑧 1 𝑘 Jacobi-elliptic-dn subscript 𝑧 2 𝑘 Jacobi-elliptic-dn subscript 𝑧 3 𝑘 {\displaystyle{\displaystyle\frac{(\operatorname{dn}z_{2}+\operatorname{dn}z_{% 3})(\operatorname{dn}z_{3}+\operatorname{dn}z_{1})(\operatorname{dn}z_{1}+% \operatorname{dn}z_{2})}{\operatorname{dn}z_{1}+\operatorname{dn}z_{2}+% \operatorname{dn}z_{3}}}}
    0 references
    DLMF id
    DLMF:22.8.E25
    0 references
    Symbols used
    Jacobian elliptic function
    Defining formula
    dn ⁡ ( z , k ) Jacobi-elliptic-dn 𝑧 𝑘 {\displaystyle{\displaystyle\operatorname{dn}\left(\NVar{z},\NVar{k}\right)}}
    xml-id
    C22.S2.E6.m2aldec
    0 references
    Q11985
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C22.S1.XMD3.m1fdec
    0 references
    Q11984
    Defining formula
    k 𝑘 {\displaystyle{\displaystyle k}}
    xml-id
    C22.S1.XMD4.m1edec
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q6990&oldid=54239"