DLMF:20.5.E15 (Q6782): Difference between revisions

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Revision as of 18:34, 29 December 2019 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Created a new Item: Wikidata Toolkit example test item creation		Latest revision as of 14:35, 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
			Q11946
		Property / Symbols used: Q11946 / rank
			Normal rank
		Property / Symbols used: Q11946 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\theta_{\NVar{j}}\left(\NVar{z}\middle|\NVar{\tau}\right)}}$ \Jacobithetatau{\NVar{j}}@{\NVar{z}}{\NVar{\tau}}
		Property / Symbols used: Q11946 / qualifier
			xml-id: C20.S2.SS1.m1afdec
		Property / Symbols used
			the ratio of the circumference of a circle to its diameter
		Property / Symbols used: the ratio of the circumference of a circle to its diameter / rank
			Normal rank
		Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
			Defining formula: ${\displaystyle{\displaystyle\pi}}$ \cpi
		Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
			xml-id: C3.S12.E1.m2afdec
		Property / Symbols used
			Q11951
		Property / Symbols used: Q11951 / rank
			Normal rank
		Property / Symbols used: Q11951 / qualifier
			Defining formula: ${\displaystyle{\displaystyle m}}$ m
		Property / Symbols used: Q11951 / qualifier
			xml-id: C20.S1.XMD1.m1adec
		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.m1ndec
		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.m1ndec
		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.m1fdec

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Latest revision as of 14:35, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:20.5.E15	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\theta_{2}\left(z\middle|\tau\right)=\theta_{2}\left(0\middle|\tau\right)\*\lim_{N\to\infty}\prod_{n=-N}^{N}\lim_{M\to\infty}\prod_{m=1-M}^{M}\left(1+\frac{z}{(m-\tfrac{1}{2}+n\tau)\pi}\right),}}$

0 references

DLMF id

DLMF:20.5.E15

0 references

Symbols used

Q11946

Defining formula

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

xml-id

C20.S2.SS1.m1afdec

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

Q11951

Defining formula

${\displaystyle{\displaystyle m}}$

xml-id

C20.S1.XMD1.m1adec

0 references

Q11947

Defining formula

${\displaystyle{\displaystyle n}}$

xml-id

C20.S1.XMD2.m1ndec

0 references

Q11948

Defining formula

${\displaystyle{\displaystyle z}}$

xml-id

C20.S1.XMD3.m1ndec

0 references

Q11949

Defining formula

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

xml-id

C20.S1.XMD4.m1fdec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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