00:00:00 / 00:00:00

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 7/20/23
  • Date of publication 9/11/23
  • Institution IHES
  • Language English
  • Audience Researchers
  • Format MP4

Last related questions on MathOverflow

You have to connect your Carmin.tv account with mathoverflow to add question

Ask a question on MathOverflow


  • Bookmark videos
  • Add videos to see later &
    keep your browsing history
  • Comment with the scientific
  • Get notification updates
    for your favorite subjects
Give feedback