DLMF:22.8.E7 (Q6972)

From DRMF
Revision as of 22:39, 29 December 2019 by Admin (talk | contribs) (‎Created a new Item: Wikidata Toolkit example test item creation)
(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:22.8.E7
No description defined

    Statements

    dc ( u + v ) = dc u dc v + k 2 sc u nc u sc v nc v 1 - k 2 sc 2 u sc 2 v , Jacobi-elliptic-dc 𝑢 𝑣 𝑘 Jacobi-elliptic-dc 𝑢 𝑘 Jacobi-elliptic-dc 𝑣 𝑘 superscript superscript 𝑘 2 Jacobi-elliptic-sc 𝑢 𝑘 Jacobi-elliptic-nc 𝑢 𝑘 Jacobi-elliptic-sc 𝑣 𝑘 Jacobi-elliptic-nc 𝑣 𝑘 1 superscript superscript 𝑘 2 Jacobi-elliptic-sc 2 𝑢 𝑘 Jacobi-elliptic-sc 2 𝑣 𝑘 {\displaystyle{\displaystyle\operatorname{dc}(u+v)=\frac{\operatorname{dc}u% \operatorname{dc}v+{k^{\prime}}^{2}\operatorname{sc}u\operatorname{nc}u% \operatorname{sc}v\operatorname{nc}v}{1-{k^{\prime}}^{2}{\operatorname{sc}^{2}% }u{\operatorname{sc}^{2}}v},}}
    0 references
    DLMF:22.8.E7
    0 references