English

Confluent A-hypergeometric functions and rapid decay homology cycles

Algebraic Geometry 2019-08-01 v7

Abstract

We study confluent A-hypergeometric functions introduced by Adolphson. In particular, we give their integral representations by using rapid decay homology cycles of Hien and obtain a formula for the asymptotic expansions at infinity of confluent A-hypergeometric functions.

Keywords

Cite

@article{arxiv.1107.0402,
  title  = {Confluent A-hypergeometric functions and rapid decay homology cycles},
  author = {Alexander Esterov and Kiyoshi Takeuchi},
  journal= {arXiv preprint arXiv:1107.0402},
  year   = {2019}
}

Comments

40 pages with an addendum on the case of resonant parameters

R2 v1 2026-06-21T18:31:05.284Z