10 citations · 36 across the 6 of their papers we have counts for
Showing 2019Show all
2 papers · 1 filter
math.CV2019★ 8 cited
Number and location of pre-images under harmonic mappings in the plane
Olivier Sète, Jan Zur
We derive a formula for the number of pre-images under a non-degenerate harmonic mapping , using the argument principle. This formula reveals a connection between the pre-images…
math.CV2019★ 10 cited
A Newton method for harmonic mappings in the plane
Olivier Sète, Jan Zur
We present an iterative root finding method for harmonic mappings in the complex plane, which is a generalization of Newton's method for analytic functions. The complex formulation…