👉 The gamma function, denoted by γ(x), is a special function in mathematics that is closely related to the factorial function and is defined as: \[ \gamma(x) = \lim_{n \to \infty} \left(1 + \frac{x}{n}\right)^{n} \] It plays a significant role in many areas of mathematical analysis, including exponential growth and decay, probability theory, and asymptotic expansions.