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New perspectives on Borel summation – 4/4

By Veronica Fantini

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.

Information about the video

  • Date of recording 20/07/2023
  • Date of publication 11/09/2023
  • Institution IHES
  • Language English
  • Audience Researchers
  • Format MP4

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