Mellin Transform

The Mellin Transform is a mathematical tool that converts a function defined over positive numbers into a form that reveals its scaling behavior. Think of it like analyzing a shape to understand how it behaves when resized—whether it stretches or shrinks. This transform simplifies complex calculations, especially those involving products and scale-invariant properties, making it valuable in areas like signal processing, number theory, and physics. Essentially, it provides a new perspective on a function, highlighting how its features change across different scales.