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.