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On the Hadamard inverse of a resurgent function with only one singularity

Complex Variables 2023-10-27 v1

Abstract

This note discusses the location of the singularities of the Hadamard inverse of an endlessly continuable function, in the case when the original function has only one singular singularity which is either a single pole or a simple singularity.

Keywords

Cite

@article{arxiv.2310.17449,
  title  = {On the Hadamard inverse of a resurgent function with only one singularity},
  author = {Yong Li and David Sauzin and Shanzhong Sun},
  journal= {arXiv preprint arXiv:2310.17449},
  year   = {2023}
}

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14 pages