English

Appell F1 and Conformal Mapping

History and Overview 2014-08-06 v1 Metric Geometry

Abstract

This is the last of a trilogy of papers on triangle centers. A fairly obscure "conformal center of gravity" is computed for the class of all isosceles triangles. This calculation appears to be new. A byproduct is the logarithmic capacity or transfinite diameter of such, yielding results consistent with Haegi (1951).

Keywords

Cite

@article{arxiv.1408.1074,
  title  = {Appell F1 and Conformal Mapping},
  author = {Steven R. Finch},
  journal= {arXiv preprint arXiv:1408.1074},
  year   = {2014}
}

Comments

12 pages, 3 figures

R2 v1 2026-06-22T05:21:06.242Z