# Category:Beta Function

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This category contains results about **the beta function**.

Definitions specific to this category can be found in **Definitions/Beta Function**.

- $\ds \map \Beta {x, y} := \int_{\mathop \to 0}^{\mathop \to 1} t^{x - 1} \paren {1 - t}^{y - 1} \rd t$

## Subcategories

This category has the following 2 subcategories, out of 2 total.

### B

## Pages in category "Beta Function"

The following 16 pages are in this category, out of 16 total.

### B

- Beta Function as Integral of Power of t by Power of 1 minus t over Power of r plus t
- Beta Function as Integral of Power of t over Power of t plus 1
- Beta Function expressed using Gamma Functions
- Beta Function is Continuous and Positive on Positive Reals
- Beta Function is Defined for Positive Reals
- Beta Function of Half with Half
- Beta Function of Real Number with 1
- Beta Function of x with y+1 by x+y over y
- Beta Function of x with y+m+1
- Beta Function of x+1 with y plus Beta Function of x with y+1
- Binomial Coefficient expressed using Beta Function