Gamma Function Calculator
Γ(x) = ∫0∞ tx-1e-t dt
Results
How to Use
- Enter the x value for which you want to calculate the gamma function
- Select the desired precision for the result
- Click "Calculate" to compute Γ(x)
- View the graph of the gamma function
About the Gamma Function
The gamma function is defined as:
Γ(x) = ∫0∞ tx-1e-t dt
Properties:
- Γ(n) = (n-1)! for positive integers n
- Γ(x+1) = xΓ(x)
- Γ(1/2) = √π
- Γ(x) is undefined for non-positive integers
Common Values
| x | Γ(x) |
|---|---|
| 1 | 1 |
| 2 | 1 |
| 3 | 2 |
| 4 | 6 |
| 1/2 | √π ≈ 1.7725 |
Applications
- Probability and statistics
- Quantum mechanics
- Number theory
- Complex analysis
- Engineering calculations
Advertisement Space