Difference between revisions of "DLMF:5.12.E1 (Q2146)"

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Revision as of 13:59, 30 December 2019 Admin (talk | contribs) (‎Changed an Item: Wikidata Toolkit example test statement addition) ← Older edit		Latest revision as of 17:43, 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.m2adec
		Property / Symbols used
		+	Q10770
		Property / Symbols used: Q10770 / rank
		+	Normal rank
		Property / Symbols used: Q10770 / qualifier
		+	Defining formula: ${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$ \diff{\NVar{x}}
		Property / Symbols used: Q10770 / qualifier
		+	xml-id: C1.S4.SS4.m1adec
		Property / Symbols used
		+	Q10771
		Property / Symbols used: Q10771 / rank
		+	Normal rank
		Property / Symbols used: Q10771 / qualifier
		+	Defining formula: ${\displaystyle{\displaystyle\int}}$ \int
		Property / Symbols used: Q10771 / qualifier
		+	xml-id: C1.S4.SS4.m3adec
		Property / Symbols used
		+	Q11275
		Property / Symbols used: Q11275 / rank
		+	Normal rank
		Property / Symbols used: Q11275 / qualifier
		+	Defining formula: ${\displaystyle{\displaystyle a}}$ a
		Property / Symbols used: Q11275 / qualifier
		+	xml-id: C5.S1.XMD8.m1dec
		Property / Symbols used
		+	Q11283
		Property / Symbols used: Q11283 / rank
		+	Normal rank
		Property / Symbols used: Q11283 / qualifier
		+	Defining formula: ${\displaystyle{\displaystyle b}}$ b
		Property / Symbols used: Q11283 / qualifier
		+	xml-id: C5.S1.XMD9.m1dec

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Latest revision as of 17:43, 1 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:5.12.E1	No description defined

Statements

Defining formula

${\displaystyle{\displaystyle\mathrm{B}\left(a,b\right)=\int_{0}^{1}t^{a-1}(1-t)^{b-1}\mathrm{d}t=\frac{\Gamma\left(a\right)\Gamma\left(b\right)}{\Gamma\left(a+b\right)}.}}$

0 references

DLMF id

DLMF:5.12.E1

0 references

Symbols defined

beta function

0 references

Symbols used

gamma function

Defining formula

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

xml-id

C5.S2.E1.m2adec

0 references

Q10770

Defining formula

${\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}$

xml-id

C1.S4.SS4.m1adec

0 references

Q10771

Defining formula

${\displaystyle{\displaystyle\int}}$

xml-id

C1.S4.SS4.m3adec

0 references

Q11275

Defining formula

${\displaystyle{\displaystyle a}}$

xml-id

C5.S1.XMD8.m1dec

0 references

Q11283

Defining formula

${\displaystyle{\displaystyle b}}$

xml-id

C5.S1.XMD9.m1dec

0 references

 

Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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