DLMF:22.11.E9 (Q7033): 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.m1ahdec
		Property / Symbols used
			cotangent function
		Property / Symbols used: cotangent function / rank
			Normal rank
		Property / Symbols used: cotangent function / qualifier
			Defining formula: ${\displaystyle{\displaystyle\cot\NVar{z}}}$ \cot@@{\NVar{z}}
		Property / Symbols used: cotangent function / qualifier
			xml-id: C4.S14.E7.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.m2ahdec
		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.m2addec
		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.m1hdec
		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.m1hdec
		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.m1hdec

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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.E9	No description defined

Statements

Defining formula

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

0 references

DLMF id

DLMF:22.11.E9

0 references

Symbols used

Jacobian elliptic function

Defining formula

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

xml-id

C22.S2.E9.m3adec

0 references

the ratio of the circumference of a circle to its diameter

Defining formula

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

xml-id

C3.S12.E1.m2ahdec

0 references

Q11600

Defining formula

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

xml-id

C19.S2.E8.m1ahdec

0 references

cotangent function

Defining formula

${\displaystyle{\displaystyle\cot\NVar{z}}}$

xml-id

C4.S14.E7.m2adec

0 references

nome

Defining formula

${\displaystyle{\displaystyle q}}$

xml-id

C22.S2.E1.m2ahdec

0 references

sine function

Defining formula

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

xml-id

C4.S14.E1.m2addec

0 references

Q11985

Defining formula

${\displaystyle{\displaystyle z}}$

xml-id

C22.S1.XMD3.m1hdec

0 references

Q11984

Defining formula

${\displaystyle{\displaystyle k}}$

xml-id

C22.S1.XMD4.m1hdec

0 references

Q11986

Defining formula

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

xml-id

C22.S2.XMD2.m1hdec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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