Okay, imagine you have a very special toy that you can bend, twist, and turn in all sorts of ways. And when you do certain combinations of those twists and turns, you get a different toy altogether! That's kind of like what an Abel elliptic function is.
But instead of a toy, it's a mathematical function that has a bunch of properties that make it unique. These functions were first discovered by a smart guy named Niels Henrik Abel, who was really good at math (way better than me, and probably better than most grown-ups you know).
One of the coolest things about Abel elliptic functions is that they can be used to describe certain shapes, called elliptic curves, which have lots of important uses in cryptography (that's a fancy term for keeping secrets safe).
So basically, Abel elliptic functions are like a special type of math toy that helps us describe really interesting shapes, which can then be used to keep important information safe. Cool, huh?