Geodesic
Starlikeness of polynomials and finite Blaschke products
Alan Gluchoff1 ; Frederick Hartmann1
1 Mathematical Sciences Villanova University Villanova, PA 19085, U.S.A.
Annales Polonici Mathematici, Tome 93 (2008) no. 2, pp. 187-196

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ap93-2-7
Keywords: radius starlikeness polynomial mappings finite blaschke products zeroes distributed equal angles around circle centered origin zeroes concentrated single point considered sharp bounds obtained results expressing radius starlikeness arbitrary polynomial blaschke product terms magnitudes zeroes given these sharp

Alan Gluchoff 1 ; Frederick Hartmann 1

1 Mathematical Sciences Villanova University Villanova, PA 19085, U.S.A. 
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Alan Gluchoff; Frederick Hartmann. Starlikeness of polynomials and finite Blaschke products. Annales Polonici Mathematici, Tome 93 (2008) no. 2, pp. 187-196. doi: 10.4064/ap93-2-7

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