Beta Function Calculator
Online calculator and formulas for computing the Beta function Β(a,b)
Beta Function Calculator
Beta Function
The calculator computes the Beta function B(a,b) for two positive parameters a and b.
Beta Function Visualization
Graphical representation of the Beta function for various parameters a and b.
Beta Function Formulas
Integral Representation
Alternative Representation
Gamma Relation
Relation to Gamma Function
The Beta function can be expressed as the ratio of Gamma functions.
Description of the Beta Function
Mathematical Definition
The calculator on this page computes the Beta function B(a,b). The Beta function is a special mathematical function closely related to the Gamma function.
Input Parameters
To calculate, enter positive values for the arguments a and b. Then click the 'Calculate' button.
Properties
Symmetry
The Beta function is symmetric: B(a,b) = B(b,a)
Domain
The parameters a and b must both be positive real numbers.
Applications
Used in probability theory, statistics, and for the Beta distribution.
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