Difference between revisions of "DLMF:5.4.E3 (Q2039)"

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Revision as of 11:09, 29 December 2019 Admin (talk | contribs) (‎Created a new Item: Wikidata Toolkit example test item creation)		Latest revision as of 17:28, 1 January 2020 Admin (talk | contribs) (‎Changed an Item: Add constraint)
(4 intermediate revisions by the same user not shown)
		Property / Symbols used
		+	gamma function
		Property / Symbols used: gamma function / rank
		+	Normal rank
		Property / Symbols used: gamma function / qualifier
		+	Defining formula: ${\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}$ \EulerGamma@{\NVar{z}}
		Property / Symbols used: gamma function / qualifier
		+	xml-id: C5.S2.E1.m2abdec
		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.m2aadec
		Property / Symbols used
		+	hyperbolic sine function
		Property / Symbols used: hyperbolic sine function / rank
		+	Normal rank
		Property / Symbols used: hyperbolic sine function / qualifier
		+	Defining formula: ${\displaystyle{\displaystyle\sinh\NVar{z}}}$ \sinh@@{\NVar{z}}
		Property / Symbols used: hyperbolic sine function / qualifier
		+	xml-id: C4.S28.E1.m2adec
		Property / Symbols used
		+	imaginary unit
		Property / Symbols used: imaginary unit / rank
		+	Normal rank
		Property / Symbols used: imaginary unit / qualifier
		+	Defining formula: ${\displaystyle{\displaystyle\mathrm{i}}}$ \iunit
		Property / Symbols used: imaginary unit / qualifier
		+	xml-id: C1.S9.E1.m2adec
		Property / Symbols used
		+	Q11278
		Property / Symbols used: Q11278 / rank
		+	Normal rank
		Property / Symbols used: Q11278 / qualifier
		+	Defining formula: ${\displaystyle{\displaystyle y}}$ y
		Property / Symbols used: Q11278 / qualifier
		+	xml-id: C5.S1.XMD6.m1dec

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Latest revision as of 17:28, 1 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:5.4.E3	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle|\Gamma\left(iy\right)|=\left(\frac{\pi}{y\sinh\left(\pi y\right)}\right)^{1/2},}}$

0 references

DLMF id

DLMF:5.4.E3

0 references

Symbols used

gamma function

Defining formula

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

xml-id

C5.S2.E1.m2abdec

0 references

the ratio of the circumference of a circle to its diameter

Defining formula

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

xml-id

C3.S12.E1.m2aadec

0 references

hyperbolic sine function

Defining formula

${\displaystyle{\displaystyle\sinh\NVar{z}}}$

xml-id

C4.S28.E1.m2adec

0 references

imaginary unit

Defining formula

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

xml-id

C1.S9.E1.m2adec

0 references

Q11278

Defining formula

${\displaystyle{\displaystyle y}}$

xml-id

C5.S1.XMD6.m1dec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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