4 papers
Harmonic Schwarzian derivative and methods of approximation of zeros
María J. Martín
We review the relation between the classical formulas of the pre-Schwarzian and Schwarzian derivatives of locally univalent analytic functions and the derivatives of the generating…
Ahlfors-Weill extensions for harmonic mappings
Iason Efraimidis, Rodrigo Hernández, María J. Martín
We provide two new formulas for quasiconformal extension to for harmonic mappings defined in the unit disk and having sufficiently small Schwarzian derivati…
2d incompressible Euler equations: new explicit solutions
Jukka Tuomela, María J. Martín
There are not too many known explicit solutions to the 2-dimensional incompressible Euler equations in Lagrangian coordinates. Special mention must be made of the well-known ones d…
On the harmonic Möbius transformations
Rodrigo Hernández, María J. Martín
It is well-known that two locally univalent analytic functions and have equal Schwarzian derivative if and only if there exists a non-constant Möbius transformation suc…