beta function (Q3553): Difference between revisions

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Property / NDL Authority ID
 
00560632
Property / NDL Authority ID: 00560632 / rank
 
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Property / Freebase ID
 
/m/01kk92
Property / Freebase ID: /m/01kk92 / rank
 
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stated in: Freebase Data Dumps
publication date: 28 October 2013
Timestamp+2013-10-28T00:00:00Z
Timezone+00:00
CalendarGregorian
Precision1 day
Before0
After0
Property / MathWorld ID
 
BetaFunction
Property / MathWorld ID: BetaFunction / rank
 
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Property / MathWorld ID: BetaFunction / reference
 
Property / named after
 
Property / named after: Leonhard Euler / rank
 
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Property / PSH ID
 
7534
Property / PSH ID: 7534 / rank
 
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Property / instance of: function / rank
 
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Property / instance of: special function / rank
 
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Property / instance of: function of several complex variables / rank
 
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Property / Commons category
 
Euler beta function
Property / Commons category: Euler beta function / rank
 
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Property / Microsoft Academic ID
 
110029354
Property / Microsoft Academic ID: 110029354 / rank
 
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Property / described by source
 
Property / described by source: ISO 80000-2:2019 Quantities and units — Part 2: Mathematics / rank
 
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Property / described by source: ISO 80000-2:2019 Quantities and units — Part 2: Mathematics / qualifier
 
Property / described by source: ISO 80000-2:2019 Quantities and units — Part 2: Mathematics / qualifier
 
subject named as: beta function
Property / defining formula
 

\operatorname{B}(z, w) = \int\limits_0^1 t^{z - 1} (1 - t)^{w - 1} \mathrm{d}t
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Property / defining formula
 

\operatorname{B}(z, w) = \frac{\operatorname{\Gamma}(z) \operatorname{\Gamma}(w)}{\operatorname{\Gamma}(z + w)}
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Property / defining formula: / reference
 
Property / in defining formula
 

\operatorname{B}(z, w)
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Property / in defining formula: / qualifier
 
Property / in defining formula
 

\int_a^b f(x) \, \mathrm{d}x
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Property / in defining formula
 

\operatorname{\Gamma}(z)
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Property / GND ID
 
4144960-5
Property / GND ID: 4144960-5 / rank
 
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Latest revision as of 17:05, 29 July 2024

mathematical function
  • Euler beta function
  • Euler integral of the first kind
Language Label Description Also known as
English
beta function
mathematical function
  • Euler beta function
  • Euler integral of the first kind

Statements

Q468881
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00560632
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/m/01kk92
1 reference
7534
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Euler beta function
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110029354
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0 references
0 references
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4144960-5
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