Geometric Function Theory is a vibrant field that investigates the geometric properties of analytic functions, including univalence, starlikeness, and convexity, which are key to understanding their ...

Educational Studies in Mathematics, Vol. 73, No. 1 (Jan., 2010), pp. 3-19 (17 pages) This study is part of a project concerned with the analysis of how students work with two-variable functions. This ...

We review some results and open problems for harmonic measure. Their common element is their simple geometric character. Such classical results are the projection estimates of Beurling, Nevanlinna and ...

A novel differentiable approach optimizes geometric waveguide coatings, achieving substantial gains in light efficiency and ...