Unlock the power of the Gamma function with our intuitive online calculator. Easily evaluate Γ(z) for various real numbers, understanding its connection to factorials and improper integrals. This tool helps mathematicians, engineers, and students compute Gamma values quickly and accurately for positive integers and half-integers.
Formula:
The Gamma function, denoted as Γ(z), is an extension of the factorial function to complex and real numbers. For a complex number z with a positive real part (Re(z) > 0), it is defined by the improper integral:
Γ(z) = ∫₀^∞ t(z-1)e(-t) dt
Where:
z: The argument of the Gamma function (a real or complex number).
t: The integration variable.