Starlikeness of polynomials and finite Blaschke products

Alan Gluchoff, and Frederick Hartmann. "Starlikeness of polynomials and finite Blaschke products." Annales Polonici Mathematici 93.2 (2008): 187-196. <http://eudml.org/doc/280878>.

@article{AlanGluchoff2008,
abstract = {The radius of starlikeness for polynomial mappings and finite Blaschke products with zeroes distributed at equal angles around a circle centered at the origin, as well as with zeroes concentrated at a single point, are considered, and sharp bounds are obtained. Results expressing the radius of starlikeness of an arbitrary polynomial or Blaschke product in terms of the magnitudes of the zeroes are also given. These are also sharp.},
author = {Alan Gluchoff, Frederick Hartmann},
journal = {Annales Polonici Mathematici},
keywords = {univalent functions; starlike polynomials; starlike Blaschke products},
language = {eng},
number = {2},
pages = {187-196},
title = {Starlikeness of polynomials and finite Blaschke products},
url = {http://eudml.org/doc/280878},
volume = {93},
year = {2008},
}

TY - JOUR
AU - Alan Gluchoff
AU - Frederick Hartmann
TI - Starlikeness of polynomials and finite Blaschke products
JO - Annales Polonici Mathematici
PY - 2008
VL - 93
IS - 2
SP - 187
EP - 196
AB - The radius of starlikeness for polynomial mappings and finite Blaschke products with zeroes distributed at equal angles around a circle centered at the origin, as well as with zeroes concentrated at a single point, are considered, and sharp bounds are obtained. Results expressing the radius of starlikeness of an arbitrary polynomial or Blaschke product in terms of the magnitudes of the zeroes are also given. These are also sharp.
LA - eng
KW - univalent functions; starlike polynomials; starlike Blaschke products
UR - http://eudml.org/doc/280878
ER -