Polynomial identities underpin a wide range of methods for analysing and solving differential equations arising in diverse scientific fields. Identities involving Bell polynomials, Stirling numbers ...

Orthogonal polynomials have long played a central role in quantum mechanics by furnishing exact eigenfunctions for a wide class of solvable models. Classical families such as Hermite, Laguerre and ...

We investigate a practical and fast analytic framework for portfolio modeling and tail risk allocation using Hermite polynomials. This framework was first discussed in "An analytical framework for ...

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 ...