DLMF:23.8.E7 (Q7289): Difference between revisions

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Revision as of 15:57, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 15:57, 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
			Q12049
		Property / Symbols used: Q12049 / rank
			Normal rank
		Property / Symbols used: Q12049 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\omega_{1}}}$ \omega_{1}
		Property / Symbols used: Q12049 / qualifier
			xml-id: C23.S1.XMD8.m1fdec
		Property / Symbols used
			Q12059
		Property / Symbols used: Q12059 / rank
			Normal rank
		Property / Symbols used: Q12059 / qualifier
			Defining formula: ${\displaystyle{\displaystyle\eta_{j}}}$ \eta_{j}
		Property / Symbols used: Q12059 / qualifier
			xml-id: C23.S2.XMD6.m1cdec

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Latest revision as of 15:57, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:23.8.E7	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\sigma\left(z\right)=\frac{2\omega_{1}}{\pi}\exp\left(\frac{\eta_{1}z^{2}}{2\omega_{1}}\right)\sin\left(\frac{\pi z}{2\omega_{1}}\right)\prod_{n=1}^{\infty}\frac{\sin\left(\pi(2n\omega_{3}+z)/(2\omega_{1})\right)\sin\left(\pi(2n\omega_{3}-z)/(2\omega_{1})\right)}{{\sin^{2}}\left(\pi n\omega_{3}/\omega_{1}\right)}.}}$

0 references

DLMF id

DLMF:23.8.E7

0 references

Symbols used

DLMF:23.2.E6

Defining formula

${\displaystyle{\displaystyle\sigma\left(\NVar{z}\right)}}$

xml-id

C23.S2.E6.m2aadec

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

exponential function

Defining formula

${\displaystyle{\displaystyle\exp\NVar{z}}}$

xml-id

C4.S2.E19.m2aadec

0 references

sine function

Defining formula

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

xml-id

C4.S14.E1.m2abdec

0 references

Q12055

Defining formula

${\displaystyle{\displaystyle\mathbb{L}}}$

xml-id

C23.S1.XMD1.m1edec

0 references

Q12060

Defining formula

${\displaystyle{\displaystyle n}}$

xml-id

C23.S1.XMD3.m1fdec

0 references

Q12056

Defining formula

${\displaystyle{\displaystyle z}}$

xml-id

C23.S1.XMD7.m1edec

0 references

Q12049

Defining formula

${\displaystyle{\displaystyle\omega_{1}}}$

xml-id

C23.S1.XMD8.m1fdec

0 references

Q12059

Defining formula

${\displaystyle{\displaystyle\eta_{j}}}$

xml-id

C23.S2.XMD6.m1cdec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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