DLMF:18.19.E8 (Q5838): Difference between revisions

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Revision as of 01:30, 2 January 2020 Admin (talk | contribs) Bureaucrats, Interface administrators, Administrators 57,118 edits ‎Changed an Item: Add constraint ← Older edit		Latest revision as of 01:30, 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
			Q11729
		Property / Symbols used: Q11729 / rank
			Normal rank
		Property / Symbols used: Q11729 / qualifier
			Defining formula: ${\displaystyle{\displaystyle w(x)}}$ w(x)
		Property / Symbols used: Q11729 / qualifier
			xml-id: C18.S1.XMD10.m1cdec
		Property / Symbols used
			Q11727
		Property / Symbols used: Q11727 / rank
			Normal rank
		Property / Symbols used: Q11727 / qualifier
			Defining formula: ${\displaystyle{\displaystyle x}}$ x
		Property / Symbols used: Q11727 / qualifier
			xml-id: C18.S2.XMD3.m1edec

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Latest revision as of 01:30, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:18.19.E8	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle w(x)=w^{(\lambda)}(x;\phi)=\left|\Gamma\left(\lambda+\mathrm{i}x\right)\right|^{2}e^{(2\phi-\pi)x},}}$

0 references

DLMF id

DLMF:18.19.E8

0 references

constraint

${\displaystyle{\displaystyle 0<\phi<\pi}}$

0 references

Symbols used

gamma function

Defining formula

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

xml-id

C5.S2.E1.m2addec

0 references

the ratio of the circumference of a circle to its diameter

Defining formula

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

xml-id

C3.S12.E1.m2abdec

0 references

base of natural logarithm

Defining formula

${\displaystyle{\displaystyle\mathrm{e}}}$

xml-id

C4.S2.E11.m2abdec

0 references

imaginary unit

Defining formula

${\displaystyle{\displaystyle\mathrm{i}}}$

xml-id

C1.S9.E1.m2acdec

0 references

Q11729

Defining formula

${\displaystyle{\displaystyle w(x)}}$

xml-id

C18.S1.XMD10.m1cdec

0 references

Q11727

Defining formula

${\displaystyle{\displaystyle x}}$

xml-id

C18.S2.XMD3.m1edec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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