The Gamma Function is a mathematical function that extends the concept of factorials to non-integer values. For positive integers, the Gamma Function is defined as Γ(n) = (n-1)!, meaning that it produces the same result as the factorial of one less than the integer. However, it can also be evaluated for fractions and complex numbers, making it a versatile tool in various fields of mathematics. One of the key properties of the Gamma Function is its recursive relationship: Γ(n) = (n-1)Γ(n-1). This property allows for easy computation and is particularly useful in calculus and complex analysis. The Gamma Function plays a significant role in probability theory, statistics, and combinatorics, where it helps in defining distributions and solving integrals.