DLMF:22.11.E13 (Q7037): Difference between revisions

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Revision as of 15:15, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 15:15, 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.m1ldec
		Property / Symbols used
			Q11986
		Property / Symbols used: Q11986 / rank
			Normal rank
		Property / Symbols used: Q11986 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\zeta}}$ \zeta
		Property / Symbols used: Q11986 / qualifier
			xml-id: C22.S2.XMD2.m1ldec

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Latest revision as of 15:15, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:22.11.E13	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle{\operatorname{sn}^{2}}\left(z,k\right)=\frac{1}{k^{2}}\left(1-\frac{E}{K}\right)-\frac{2\pi^{2}}{k^{2}K^{2}}\sum_{n=1}^{\infty}\frac{nq^{n}}{1-q^{2n}}\cos\left(2n\zeta\right).}}$

0 references

DLMF id

DLMF:22.11.E13

0 references

Symbols used

Jacobian elliptic function

Defining formula

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

xml-id

C22.S2.E4.m2aadec

0 references

the ratio of the circumference of a circle to its diameter

Defining formula

${\displaystyle{\displaystyle\pi}}$

xml-id

C3.S12.E1.m2aldec

0 references

Q11600

Defining formula

${\displaystyle{\displaystyle K\left(\NVar{k}\right)}}$

xml-id

C19.S2.E8.m1aldec

0 references

Q11601

Defining formula

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

xml-id

C19.S2.E8.m2adec

0 references

cosine function

Defining formula

${\displaystyle{\displaystyle\cos\NVar{z}}}$

xml-id

C4.S14.E2.m2afdec

0 references

nome

Defining formula

${\displaystyle{\displaystyle q}}$

xml-id

C22.S2.E1.m2aldec

0 references

Q11985

Defining formula

${\displaystyle{\displaystyle z}}$

xml-id

C22.S1.XMD3.m1ldec

0 references

Q11984

Defining formula

${\displaystyle{\displaystyle k}}$

xml-id

C22.S1.XMD4.m1ldec

0 references

Q11986

Defining formula

${\displaystyle{\displaystyle\zeta}}$

xml-id

C22.S2.XMD2.m1ldec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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