Easily compute the Incomplete Gamma Function, including both upper (Γ(s,x)) and lower (γ(s,x)) forms, for any given positive real values of s and x. This powerful online tool is vital for scientific and engineering applications, analyzing probability distributions like the gamma distribution, and performing advanced statistical analysis. Get accurate results for your complex mathematical computations instantly.
Formula:
The Incomplete Gamma Function is a generalization of the Gamma Function. It comes in two forms:
- Upper Incomplete Gamma Function:
Γ(s, x) = ∫x∞ ts-1e-t dt - Lower Incomplete Gamma Function:
γ(s, x) = ∫0x ts-1e-t dt
Where:
- s: The shape parameter (a positive real number,
s > 0). - x: The integration limit (a non-negative real number,
x ≥ 0).