Title: Regularized Beta Function -- from Wolfram MathWorld
Open Graph Title: Regularized Beta Function -- from Wolfram MathWorld
X Title: Regularized Beta Function -- from Wolfram MathWorld
Description: The regularized beta function is defined by I(z;a,b)=(B(z;a,b))/(B(a,b)), where B(z;a,b) is the incomplete beta function and B(a,b) is the (complete) beta function. The regularized beta function is sometimes also denoted I_z(a,b) and is implemented in the Wolfram Language as BetaRegularized[z, a, b]. The four-argument version BetaRegularized[z1, z2, a, b] is equivalent to I(z_2;a,b)-I(z_1;a,b).
Open Graph Description: The regularized beta function is defined by I(z;a,b)=(B(z;a,b))/(B(a,b)), where B(z;a,b) is the incomplete beta function and B(a,b) is the (complete) beta function. The regularized beta function is sometimes also denoted I_z(a,b) and is implemented in the Wolfram Language as BetaRegularized[z, a, b]. The four-argument version BetaRegularized[z1, z2, a, b] is equivalent to I(z_2;a,b)-I(z_1;a,b).
X Description: The regularized beta function is defined by I(z;a,b)=(B(z;a,b))/(B(a,b)), where B(z;a,b) is the incomplete beta function and B(a,b) is the (complete) beta function. The regularized beta function is sometimes also denoted I_z(a,b) and is implemented in the Wolfram Language as BetaRegularized[z, a, b]. The four-argument version BetaRegularized[z1, z2, a, b] is equivalent to I(z_2;a,b)-I(z_1;a,b).
Opengraph URL: https://mathworld.wolfram.com/RegularizedBetaFunction.html
Domain: mathworld.wolfram.com
| DC.Title | Regularized Beta Function |
| DC.Creator | Weisstein, Eric W. |
| DC.Description | The regularized beta function is defined by I(z;a,b)=(B(z;a,b))/(B(a,b)), where B(z;a,b) is the incomplete beta function and B(a,b) is the (complete) beta function. The regularized beta function is sometimes also denoted I_z(a,b) and is implemented in the Wolfram Language as BetaRegularized[z, a, b]. The four-argument version BetaRegularized[z1, z2, a, b] is equivalent to I(z_2;a,b)-I(z_1;a,b). |
| DC.Subject | 33B15 |
| DC.Rights | Copyright 1999-2026 Wolfram Research, Inc. See https://mathworld.wolfram.com/about/terms.html for a full terms of use statement. |
| DC.Format | text/html |
| DC.Identifier | https://mathworld.wolfram.com/RegularizedBetaFunction.html |
| DC.Language | en |
| DC.Publisher | Wolfram Research, Inc. |
| DC.Relation.IsPartOf | https://mathworld.wolfram.com/ |
| DC.Type | Text |
| og:image | https://mathworld.wolfram.com/images/socialmedia/share.png |
| og:type | website |
| twitter:card | summary_large_image |
| twitter:image:src | https://mathworld.wolfram.com/images/socialmedia/share.png |
| None | ie=edge |
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