401 citations · 571 across the 24 of their papers we have counts for
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math.CV2019
Minimal degree rational open up mappings and related questions
Sergei Kalmykov, Béla Nagy, Olivier Sète
We establish the existence and uniqueness of rational conformal maps of minimal degree for opening up arcs. In earlier results, the degree was exponential in . We also…
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…