DLMF:20.5.E8 (Q6775): Difference between revisions

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Revision as of 14:33, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 14:33, 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
			Q11947
		Property / Symbols used: Q11947 / rank
			Normal rank
		Property / Symbols used: Q11947 / qualifier
			Defining formula: ${\displaystyle{\displaystyle n}}$ n
		Property / Symbols used: Q11947 / qualifier
			xml-id: C20.S1.XMD2.m1gdec
		Property / Symbols used
			Q11948
		Property / Symbols used: Q11948 / rank
			Normal rank
		Property / Symbols used: Q11948 / qualifier
			Defining formula: ${\displaystyle{\displaystyle z}}$ z
		Property / Symbols used: Q11948 / qualifier
			xml-id: C20.S1.XMD3.m1gdec
		Property / Symbols used
			Q11949
		Property / Symbols used: Q11949 / rank
			Normal rank
		Property / Symbols used: Q11949 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\tau}}$ \tau
		Property / Symbols used: Q11949 / qualifier
			xml-id: C20.S1.XMD4.m1cdec

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Latest revision as of 14:33, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:20.5.E8	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\theta_{4}\left(z\middle|\tau\right)=\theta_{4}\left(0\middle|\tau\right)\prod_{n=1}^{\infty}\frac{\sin\left((n-\tfrac{1}{2})\pi\tau+z\right)\sin\left((n-\tfrac{1}{2})\pi\tau-z\right)}{{\sin^{2}}\left((n-\tfrac{1}{2})\pi\tau\right)}.}}$

0 references

DLMF id

DLMF:20.5.E8

0 references

Symbols used

Q11946

Defining formula

${\displaystyle{\displaystyle\theta_{\NVar{j}}\left(\NVar{z}\middle|\NVar{\tau}\right)}}$

xml-id

C20.S2.SS1.m1acdec

0 references

the ratio of the circumference of a circle to its diameter

Defining formula

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

xml-id

C3.S12.E1.m2acdec

0 references

sine function

Defining formula

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

xml-id

C4.S14.E1.m2abdec

0 references

Q11947

Defining formula

${\displaystyle{\displaystyle n}}$

xml-id

C20.S1.XMD2.m1gdec

0 references

Q11948

Defining formula

${\displaystyle{\displaystyle z}}$

xml-id

C20.S1.XMD3.m1gdec

0 references

Q11949

Defining formula

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

xml-id

C20.S1.XMD4.m1cdec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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