Multiple orthogonal polynomials (MOPs) extend the classical notion of orthogonality by satisfying simultaneous orthogonality conditions with respect to several weight functions or measures. This ...

The theory of Appell polynomials has long intrigued researchers due to its elegant algebraic structure and rich connections with differential equations. At its core, an Appell sequence is ...

How many times during your educational career have you thought to yourself, “When on earth am I ever -- and I mean ever -- going to use this?” I would venture to guess we’ve all thought this a time or ...

Before being mortally wounded in a duel at age 20, Évariste Galois discovered the hidden structure of polynomial equations. By studying the relationships between their solutions — rather than the ...

Ah, math. Take an easy problem we all studied in our teens, scale it up by just a couple of steps, and suddenly you’re facing something that has stumped generations of the world’s best mathematicians.