Variations on the Resurgence of the Gamma Function

David Sauzin

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arXiv · 2112.15226

Variations on the Resurgence of the Gamma Function

David Sauzin

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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.

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David Sauzin. 2021-12-30. Variations on the Resurgence of the Gamma Function. https://arxiv.org/abs/2112.15226

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