DLMF:22.6.E15 (Q6949): Difference between revisions

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Revision as of 14:59, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 14:59, 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
			Jacobian elliptic function
		Property / Symbols used: Jacobian elliptic function / rank
			Normal rank
		Property / Symbols used: Jacobian elliptic function / qualifier
			Defining formula: ${\displaystyle{\displaystyle\operatorname{ds}\left(\NVar{z},\NVar{k}\right)}}$ \Jacobielldsk@{\NVar{z}}{\NVar{k}}
		Property / Symbols used: Jacobian elliptic function / qualifier
			xml-id: C22.S2.E7.m3abdec
		Property / Symbols used
			Jacobian elliptic function
		Property / Symbols used: Jacobian elliptic function / rank
			Normal rank
		Property / Symbols used: Jacobian elliptic function / qualifier
			Defining formula: ${\displaystyle{\displaystyle\operatorname{ns}\left(\NVar{z},\NVar{k}\right)}}$ \Jacobiellnsk@{\NVar{z}}{\NVar{k}}
		Property / Symbols used: Jacobian elliptic function / qualifier
			xml-id: C22.S2.E4.m3abdec
		Property / Symbols used
			Q11985
		Property / Symbols used: Q11985 / rank
			Normal rank
		Property / Symbols used: Q11985 / qualifier
			Defining formula: ${\displaystyle{\displaystyle z}}$ z
		Property / Symbols used: Q11985 / qualifier
			xml-id: C22.S1.XMD3.m1ndec
		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.m1ndec
		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.m1jdec

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Latest revision as of 14:59, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:22.6.E15	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\operatorname{ds}\left(2z,k\right)=\frac{k^{2}{k^{\prime}}^{2}+{\operatorname{ds}^{4}}\left(z,k\right)}{2\operatorname{cs}\left(z,k\right)\operatorname{ds}\left(z,k\right)\operatorname{ns}\left(z,k\right)},}}$

0 references

DLMF id

DLMF:22.6.E15

0 references

Symbols used

Jacobian elliptic function

Defining formula

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

xml-id

C22.S2.E9.m3abdec

0 references

Jacobian elliptic function

Defining formula

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

xml-id

C22.S2.E7.m3abdec

0 references

Jacobian elliptic function

Defining formula

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

xml-id

C22.S2.E4.m3abdec

0 references

Q11985

Defining formula

${\displaystyle{\displaystyle z}}$

xml-id

C22.S1.XMD3.m1ndec

0 references

Q11984

Defining formula

${\displaystyle{\displaystyle k}}$

xml-id

C22.S1.XMD4.m1ndec

0 references

Q11988

Defining formula

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

xml-id

C22.S1.XMD5.m1jdec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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