beta function
Mathematical function
Also known as Euler beta function · Euler integral of the first kind · Eulerian integral of the first kind · Euler integral of the 1st kind · Eulerian integral of the 1st kind
Overview
All data
23 statements · 13% with external sources · numbers in brackets are citations
- Defining formula
\operatorname{B}(z, w) = \int\limits_0^1 t^{z - 1} (1 - t)^{w - 1} \mathrm{d}t\operatorname{B}(z, w) = \frac{\operatorname{\Gamma}(z) \operatorname{\Gamma}(w)}{\operatorname{\Gamma}(z + w)}
- In defining formula
\operatorname{B}(z, w)symbol represents: beta function\int_a^b f(x) \, \mathrm{d}xsymbol represents: definite integral\operatorname{\Gamma}(z)symbol represents: gamma function
On other databases
14 identifiers linking beta function across the web's reference databases
- Brilliant Wiki IDbeta-function
- Encyclopædia Britannica Online IDscience/Euler-beta-function
- Encyclopedia of Mathematics article IDBeta-function
- Freebase ID/m/01kk92
- GND ID4144960-5
- MathWorld IDBetaFunction
- Microsoft Academic ID (discontinued)110029354
- Namuwiki ID베타 함수
- NDL Authority ID00560632
- PlanetMath IDBetaFunction
- ProofWiki IDDefinition:Beta_Function
- PSH ID7534
- Treccani's Enciclopedia della Matematica IDfunzione-beta-di-eulero
- Yale LUX IDconcept/bbd96f4b-9f6b-4ba0-9faf-3f750ef2b3d8