English

Variations on the Resurgence of the Gamma Function

Complex Variables 2022-01-03 v1

Abstract

We review \'Ecalle's formalism of minors, natural-majors and real-majors, and provide explicit formulas in the Borel plane that show the resurgence of the exponential of the Stirling series. We also discuss its Stokes phenomena in the framework of alien calculus.

Keywords

Cite

@article{arxiv.2112.15226,
  title  = {Variations on the Resurgence of the Gamma Function},
  author = {David Sauzin},
  journal= {arXiv preprint arXiv:2112.15226},
  year   = {2022}
}

Comments

12 pages