Starlikeness of polynomials and finite Blaschke products

• Autorzy: Alan Gluchoff , Frederick Hartmann
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 30C45: Special classes of univalent and multivalent functions (starlike, convex, bounded rotation, etc.)
• 30C10: Polynomials

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2008
• Tom: 93
• Numer: 2
• Strony: 187-196

Daty

wydano

2008

Twórcy

autor

Alan Gluchoff

• Mathematical Sciences, Villanova University, Villanova, PA 19085, U.S.A.

autor

Frederick Hartmann

• Mathematical Sciences, Villanova University, Villanova, PA 19085, U.S.A.

Identyfikatory

DOI

10.4064/ap93-2-7