Solving equations from combinatorics via computer algebra
By Hadrien Notarantonio
Partition identities, functional equations and computer algebra
By Jehanne Dousse
Some problems I’d like solved, from a user of computer algebra
By Alan Sokal
Appears in collection : New perspectives on Borel summation
We discuss the thimble integral perspective on why the Airy-Lucas functions can be obtained by Borel summation. We emphasize concrete computations, explicitly rewriting the Airy-Lucas integrals as Laplace transforms of hypergeometric functions. Using these expressions, we show how one Airy-Lucas function can contain information about another — a reflection, in the Borel plane, of the Stokes phenomenon.
Joint work with Aaron Fenyes.