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Beta function

In mathematics, the beta function, also called the Euler integral of the first kind, is a special function that is closely related to the gamma function and to binomial coefficients. It is defined by the integral

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Overview

Properties

Relationship to the gamma function

Differentiation of the beta function

Approximation

Other identities and formulas

Reciprocal beta function

Incomplete beta function

Multivariate beta function

Applications

Software implementation

Advanced semantic analysis

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Map overview Semantic statistics

Beta function

Nodes68
Edges67
Triples64
Avg. degree1.97
Density0.029412
Components1

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Beta function

Top relations

related to References · 30
Beta function → Askey, Beta, Boisvert, BP, Cambridge University Press, Charles, Clark, Daniel, Factorials, Flannery, Frank, Gamma Function, ISBN, Lozier, Mathematical Functions, MR, New York, NIST Handbook, Numerical Recipes, Olver
related to External links · 12
Beta function → Arbitrarily, Beta-function, EMS Press, Encyclopedia, Evaluate Beta Regularized, Evaluation, Incomplete, Laplace, Mathematics, PlanetMath, Regularized, The Wolfram
has application · 6
Beta function → As, Furthermore, Gabriele Veneziano, It, Regge, The
see also · 4
Beta function → Beta, Nørlund, Rice, Simon
related to Software implementation · 3
Beta function → Even, In Microsoft Excel, Python's SciPy
is a · 2
Beta function → cumulative distribution function of the beta distribution, function about the form f
related to Multivariate beta function · 2
Beta function → Gamma, The
related to Other identities and formulas · 2
Beta function → One, The
related to Incomplete beta function · 1
Beta function → The
related to Properties · 1
Beta function → The

Important terminology Word statistics

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Important terminology

function beta displaystyle mathrm frac gamma incomplete integral int -1 begin aligned end also left right sin infty cdot pi

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Beta functionis afunction about the form f0.90text
Beta functionis acumulative distribution function of the beta distribution0.90text
Beta functionhas applicationThe0.60section
Beta functionhas applicationRegge0.60section
Beta functionhas applicationFurthermore0.60section
Beta functionhas applicationGabriele Veneziano0.60section
Beta functionhas applicationIt0.60section
Beta functionhas applicationAs0.60section
Beta functionrelated to External linksBeta-function0.60section
Beta functionrelated to External linksEncyclopedia0.60section
Beta functionrelated to External linksMathematics0.60section
Beta functionrelated to External linksEMS Press0.60section

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