Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 40, 2015, 375-383

DISTRIBUTION OF ZEROS OF POLYNOMIALS WITH POSITIVE COEFFICIENTS

Walter Bergweiler and Alexandre Eremenko

Christian-Albrechts-Universität zu Kiel, Mathematisches Seminar
Ludewig-Meyn-Str. 4, 24098 Kiel, Germany; bergweiler 'at' math.uni-kiel.de

Purdue University, Department of Mathematics
West Lafayette, IN 47907, U.S.A.; eremenko 'at' math.purdue.edu

Abstract. We describe the limit zero distributions of sequences of polynomials with positive coefficients.

2010 Mathematics Subject Classification: Primary 30C15, 26C10; Secondary 31A05.

Key words: Polynomial, positive coefficient, location of zeros, potential, empirical measure.

Reference to this article: W. Bergweiler and A. Eremenko: Distribution of zeros of polynomials with positive coefficients. Ann. Acad. Sci. Fenn. Math. 40 (2015), 375-383.

Full document as PDF file

doi:10.5186/aasfm.2015.4022