DLMF:29.6.E38 (Q8668)

From DRMF

Revision as of 15:53, 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:29.6.E38	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathit{Es}^{2m+1}_{\nu}\left(z,k^{2}\right)=% \operatorname{dn}\left(z,k\right)\sum_{p=0}^{\infty}D_{2p+1}\sin\left((2p+1)% \phi\right),}}

0 references

DLMF:29.6.E38

0 references

Jacobian elliptic function

Defining formula

{\displaystyle{\displaystyle\operatorname{dn}\left(\NVar{z},\NVar{k}\right)}}

C22.S2.E6.m2abdec

0 references

Defining formula

{\displaystyle{\displaystyle\mathit{Es}^{\NVar{m}}_{\NVar{\nu}}\left(\NVar{z},% \NVar{k^{2}}\right)}}

C29.S3.SS4.p1.m6aadec

0 references

Defining formula

{\displaystyle{\displaystyle\sin\NVar{z}}}

C4.S14.E1.m2aadec

0 references

Defining formula

{\displaystyle{\displaystyle m}}

C29.S1.XMD1.m1odec

0 references

Defining formula

{\displaystyle{\displaystyle p}}

C29.S1.XMD3.m1acdec

0 references

Defining formula

{\displaystyle{\displaystyle z}}

C29.S1.XMD6.m1edec

0 references

Defining formula

{\displaystyle{\displaystyle k}}

C29.S1.XMD8.m1sdec

0 references

Defining formula

{\displaystyle{\displaystyle\nu}}

C29.S1.XMD9.m1qdec

0 references

change of variable (locally)

Defining formula

{\displaystyle{\displaystyle\phi}}

C29.S2.XMD3.m1cdec

0 references

Defining formula

{\displaystyle{\displaystyle D_{2p+1}}}

C29.S6.XMD10.m1dec

0 references

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q8668&oldid=61677"