Harmonic mappings onto parallel slit domains

Michael Dorff, Maria Nowak, and Magdalena Wołoszkiewicz. "Harmonic mappings onto parallel slit domains." Annales Polonici Mathematici 101.2 (2011): 149-162. <http://eudml.org/doc/281046>.

@article{MichaelDorff2011,
abstract = {We consider typically real harmonic univalent functions in the unit disk 𝔻 whose range is the complex plane slit along infinite intervals on each of the lines x ± ib, b > 0. They are obtained via the shear construction of conformal mappings of 𝔻 onto the plane without two or four half-lines symmetric with respect to the real axis.},
author = {Michael Dorff, Maria Nowak, Magdalena Wołoszkiewicz},
journal = {Annales Polonici Mathematici},
keywords = {harmonic mappings; shear construction},
language = {eng},
number = {2},
pages = {149-162},
title = {Harmonic mappings onto parallel slit domains},
url = {http://eudml.org/doc/281046},
volume = {101},
year = {2011},
}

TY - JOUR
AU - Michael Dorff
AU - Maria Nowak
AU - Magdalena Wołoszkiewicz
TI - Harmonic mappings onto parallel slit domains
JO - Annales Polonici Mathematici
PY - 2011
VL - 101
IS - 2
SP - 149
EP - 162
AB - We consider typically real harmonic univalent functions in the unit disk 𝔻 whose range is the complex plane slit along infinite intervals on each of the lines x ± ib, b > 0. They are obtained via the shear construction of conformal mappings of 𝔻 onto the plane without two or four half-lines symmetric with respect to the real axis.
LA - eng
KW - harmonic mappings; shear construction
UR - http://eudml.org/doc/281046
ER -