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 ...
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 ...
Long considered solved, David Hilbert’s question about seventh-degree polynomials is leading researchers to a new web of mathematical connections. Success is rare in math. Just ask Benson Farb. “The ...
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