Airy Function

The Airy function is a special mathematical function that appears in physics and engineering, especially when analyzing systems with smoothly changing conditions, like quantum mechanics or wave behavior near boundaries. It solves a specific type of differential equation that describes how waves or particles behave when they encounter a gradual change, such as a potential barrier. The function helps predict how the system transitions from one state to another, especially at points called turning points where traditional equations fail. Essentially, the Airy function provides a precise way to describe phenomena where gentle, continuous changes influence wave-like behavior.