Mittag-Leffler function

The Mittag-Leffler function is a mathematical function that generalizes the exponential function, which is commonly used to describe growth or decay. Unlike the exponential, it incorporates a parameter that allows it to model more complex behaviors, especially in systems with memory or fractional dynamics. This function is important in advanced fields like fractional calculus, physics, and engineering because it helps describe processes that do not follow simple exponential patterns, such as anomalous diffusion or viscoelastic materials. Overall, it provides a flexible tool for capturing behaviors that are more intricate than those explained by standard exponential functions.