DLMF:22.16.E19 (Q7139): Difference between revisions

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Revision as of 15:34, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 15:34, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint
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		Property / Symbols used
			Q11984
		Property / Symbols used: Q11984 / rank
			Normal rank
		Property / Symbols used: Q11984 / qualifier
			Defining formula: ${\displaystyle{\displaystyle k}}$ k
		Property / Symbols used: Q11984 / qualifier
			xml-id: C22.S1.XMD4.m1pdec
		Property / Symbols used
			Q11988
		Property / Symbols used: Q11988 / rank
			Normal rank
		Property / Symbols used: Q11988 / qualifier
			Defining formula: ${\displaystyle{\displaystyle k^{\prime}}}$ k^{\prime}
		Property / Symbols used: Q11988 / qualifier
			xml-id: C22.S1.XMD5.m1bdec

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Latest revision as of 15:34, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:22.16.E19	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\mathcal{E}\left(x,k\right)=k^{2}{k^{\prime}}^{2}\int_{0}^{x}{\operatorname{sd}^{2}}\left(t,k\right)\mathrm{d}t+{k^{\prime}}^{2}x+k^{2}\operatorname{sn}\left(x,k\right)\operatorname{cd}\left(x,k\right),}}$

0 references

DLMF id

DLMF:22.16.E19

0 references

Symbols used

Jacobi’s epsilon function

Defining formula

${\displaystyle{\displaystyle\mathcal{E}\left(\NVar{x},\NVar{k}\right)}}$

xml-id

C22.S16.E14.m2aedec

0 references

Jacobian elliptic function

Defining formula

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

xml-id

C22.S2.E8.m2aadec

0 references

Jacobian elliptic function

Defining formula

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

xml-id

C22.S2.E7.m2adec

0 references

Jacobian elliptic function

Defining formula

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

xml-id

C22.S2.E4.m2aedec

0 references

Q10770

Defining formula

${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$

xml-id

C1.S4.SS4.m1afdec

0 references

Q10771

Defining formula

${\displaystyle{\displaystyle\int}}$

xml-id

C1.S4.SS4.m3afdec

0 references

Q12003

Defining formula

${\displaystyle{\displaystyle x}}$

xml-id

C22.S1.XMD1.m1rdec

0 references

Q11984

Defining formula

${\displaystyle{\displaystyle k}}$

xml-id

C22.S1.XMD4.m1pdec

0 references

Q11988

Defining formula

${\displaystyle{\displaystyle k^{\prime}}}$

xml-id

C22.S1.XMD5.m1bdec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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