An upper estimate for characteristic exponent of polynomials

Haedeh Nazari Gooransarab, Purdue University

Abstract

In (10), A. Eremenko and G. Levin have found an upper bound for the characteristic exponent of polynomials with connected Julia set. In (11), they extended their result so that it includes the polynomials of the form $P\sb{c}(z)=z\sp{d}+c.$ In the case of polynomials with connected Julia set, the upper bound is sharp, and in the second case it is asymptotically the best possible upper bound. In this paper we extend their result to all polynomials.

Degree

Ph.D.

Advisors

Eremenko, Purdue University.

Subject Area

Mathematics

COinS