The gamma function is a mathematical tool extending the concept of factorial to a broader range of numbers. It offers a way to calculate values similar to factorials, not just for whole numbers but also for real and complex numbers. The gamma function is utilized in various branches of mathematics, physics, and statistics. For positive integers, it coincides with the factorial function. Beyond integers, the gamma function provides a continuous and smooth extension, enabling calculations for a wider set of mathematical scenarios. In essence, it serves as a versatile tool for handling a diverse range of numerical values in mathematical analysis and applications.
