English

Voros Coefficients at the Origin and at the Infinity of the Generalized Hypergeometric Differential Equations with a Large Parameter

Classical Analysis and ODEs 2022-01-04 v3

Abstract

Voros coefficients of the generalized hypergeometric differential equations with a large parameter are defined and their explicit forms are given for the origin and for the infinity. It is shown that they are Borel summable in some specified regions in the space of parameters and their Borel sums in the regions are given.

Keywords

Cite

@article{arxiv.2104.13751,
  title  = {Voros Coefficients at the Origin and at the Infinity of the Generalized Hypergeometric Differential Equations with a Large Parameter},
  author = {Takashi Aoki and Shofu Uchida},
  journal= {arXiv preprint arXiv:2104.13751},
  year   = {2022}
}