DLMF:22.11.E7 (Q7031): Difference between revisions

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Revision as of 15:13, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 15:13, 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
			Q11600
		Property / Symbols used: Q11600 / rank
			Normal rank
		Property / Symbols used: Q11600 / qualifier
			Defining formula: ${\displaystyle{\displaystyle K\left(\NVar{k}\right)}}$ \compellintKk@{\NVar{k}}
		Property / Symbols used: Q11600 / qualifier
			xml-id: C19.S2.E8.m1afdec
		Property / Symbols used
			cosecant function
		Property / Symbols used: cosecant function / rank
			Normal rank
		Property / Symbols used: cosecant function / qualifier
			Defining formula: ${\displaystyle{\displaystyle\csc\NVar{z}}}$ \csc@@{\NVar{z}}
		Property / Symbols used: cosecant function / qualifier
			xml-id: C4.S14.E5.m2adec
		Property / Symbols used
			nome
		Property / Symbols used: nome / rank
			Normal rank
		Property / Symbols used: nome / qualifier
			Defining formula: ${\displaystyle{\displaystyle q}}$ q
		Property / Symbols used: nome / qualifier
			xml-id: C22.S2.E1.m2afdec
		Property / Symbols used
			sine function
		Property / Symbols used: sine function / rank
			Normal rank
		Property / Symbols used: sine function / qualifier
			Defining formula: ${\displaystyle{\displaystyle\sin\NVar{z}}}$ \sin@@{\NVar{z}}
		Property / Symbols used: sine function / qualifier
			xml-id: C4.S14.E1.m2abdec
		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.m1fdec
		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.m1fdec
		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.m1fdec

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Latest revision as of 15:13, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:22.11.E7	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\operatorname{ns}\left(z,k\right)-\frac{\pi}{2K}\csc\zeta=\frac{2\pi}{K}\sum_{n=0}^{\infty}\frac{q^{2n+1}\sin\left((2n+1)\zeta\right)}{1-q^{2n+1}},}}$

0 references

DLMF id

DLMF:22.11.E7

0 references

Symbols used

Jacobian elliptic function

Defining formula

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

xml-id

C22.S2.E4.m3adec

0 references

the ratio of the circumference of a circle to its diameter

Defining formula

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

xml-id

C3.S12.E1.m2afdec

0 references

Q11600

Defining formula

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

xml-id

C19.S2.E8.m1afdec

0 references

cosecant function

Defining formula

${\displaystyle{\displaystyle\csc\NVar{z}}}$

xml-id

C4.S14.E5.m2adec

0 references

nome

Defining formula

${\displaystyle{\displaystyle q}}$

xml-id

C22.S2.E1.m2afdec

0 references

sine function

Defining formula

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

xml-id

C4.S14.E1.m2abdec

0 references

Q11985

Defining formula

${\displaystyle{\displaystyle z}}$

xml-id

C22.S1.XMD3.m1fdec

0 references

Q11984

Defining formula

${\displaystyle{\displaystyle k}}$

xml-id

C22.S1.XMD4.m1fdec

0 references

Q11986

Defining formula

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

xml-id

C22.S2.XMD2.m1fdec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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