English

Asymptotic behaviour of the Riemann mapping function at analytic cusps

Complex Variables 2016-04-13 v2

Abstract

We completely describe the asymptotic behaviour of the Riemann mapping function and its derivatives at an analytic cusp. We achieve the same for the inverse of the mapping function.

Keywords

Cite

@article{arxiv.1603.02875,
  title  = {Asymptotic behaviour of the Riemann mapping function at analytic cusps},
  author = {Tobias Kaiser and Sabrina Lehner},
  journal= {arXiv preprint arXiv:1603.02875},
  year   = {2016}
}

Comments

Final version; to appear at Annales Academiae Scientiarum Fennicae Mathematica

R2 v1 2026-06-22T13:07:12.427Z