On Some Typological Properties of the Class of Normalized and Starlike Maps of the Unit Polydisk in C^n
Acta Universitatis Lodziensis. Folia Mathematica, Tome 03 (1989)
Cet article a éte moissonné depuis la source University of Lodz Repository
In this paper we consider univalent holomorphic maps of the unit polydisk P^n into C^n. We find a necessary and sufficient condition for this function to be starlike. Further, we show that the class of normalized and starlike maps of the unit polydisk P^n into C^n is compact and connected.
@article{AULFM_1989_03_a4,
author = {Poreda, Tadeusz},
title = {On {Some} {Typological} {Properties} of the {Class} of {Normalized} and {Starlike} {Maps} of the {Unit} {Polydisk} in {C^n}},
journal = {Acta Universitatis Lodziensis. Folia Mathematica},
year = {1989},
volume = {03},
language = {en},
url = {http://geodesic.mathdoc.fr/item/AULFM_1989_03_a4/}
}
TY - JOUR AU - Poreda, Tadeusz TI - On Some Typological Properties of the Class of Normalized and Starlike Maps of the Unit Polydisk in C^n JO - Acta Universitatis Lodziensis. Folia Mathematica PY - 1989 VL - 03 UR - http://geodesic.mathdoc.fr/item/AULFM_1989_03_a4/ LA - en ID - AULFM_1989_03_a4 ER -
Poreda, Tadeusz. On Some Typological Properties of the Class of Normalized and Starlike Maps of the Unit Polydisk in C^n. Acta Universitatis Lodziensis. Folia Mathematica, Tome 03 (1989). http://geodesic.mathdoc.fr/item/AULFM_1989_03_a4/