DLMF:22.13.E17 (Q7068): Difference between revisions

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Revision as of 15:20, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 15:20, 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.m1qdec
		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.m1kdec

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Latest revision as of 15:20, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:22.13.E17	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\frac{{\mathrm{d}}^{2}}{{\mathrm{d}z}^{2}}\operatorname{sd}\left(z,k\right)=(k^{2}-{k^{\prime}}^{2})\operatorname{sd}\left(z,k\right)-2k^{2}{k^{\prime}}^{2}{\operatorname{sd}^{3}}\left(z,k\right),}}$

0 references

DLMF id

DLMF:22.13.E17

0 references

Symbols used

Jacobian elliptic function

Defining formula

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

xml-id

C22.S2.E7.m2abdec

0 references

derivative of $$f$$ with respect to $$x$$

Defining formula

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

xml-id

C1.S4.E4.m2aqdec

0 references

Q11985

Defining formula

${\displaystyle{\displaystyle z}}$

xml-id

C22.S1.XMD3.m1qdec

0 references

Q11984

Defining formula

${\displaystyle{\displaystyle k}}$

xml-id

C22.S1.XMD4.m1qdec

0 references

Q11988

Defining formula

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

xml-id

C22.S1.XMD5.m1kdec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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