DLMF:22.12.E12 (Q7050): Difference between revisions

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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.m1kdec
		Property / Symbols used
			Q11987
		Property / Symbols used: Q11987 / rank
			Normal rank
		Property / Symbols used: Q11987 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\tau}}$ \tau
		Property / Symbols used: Q11987 / qualifier
			xml-id: C22.S1.XMD6.m1kdec

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Latest revision as of 15:18, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:22.12.E12	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle 2K\operatorname{ds}\left(2Kt,k\right)=\sum_{n=-\infty}^{\infty}\frac{(-1)^{n}\pi}{\sin\left(\pi(t-n\tau)\right)}=\sum_{n=-\infty}^{\infty}\left(\sum_{m=-\infty}^{\infty}\frac{(-1)^{m+n}}{t-m-n\tau}\right),}}$

0 references

DLMF id

DLMF:22.12.E12

0 references

Symbols used

Jacobian elliptic function

Defining formula

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

xml-id

C22.S2.E7.m3adec

0 references

the ratio of the circumference of a circle to its diameter

Defining formula

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

xml-id

C3.S12.E1.m2ajdec

0 references

Q11600

Defining formula

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

xml-id

C19.S2.E8.m1akdec

0 references

sine function

Defining formula

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

xml-id

C4.S14.E1.m2agdec

0 references

Q11984

Defining formula

${\displaystyle{\displaystyle k}}$

xml-id

C22.S1.XMD4.m1kdec

0 references

Q11987

Defining formula

${\displaystyle{\displaystyle\tau}}$

xml-id

C22.S1.XMD6.m1kdec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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