Finite Type Transcendental Entire Functions Whose Buried Points Set Contains Unbounded Positive Real Interval

Feng Guo

doi:10.4236/apm.2014.45027

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Advances in Pure Mathematics > Vol.4 No.5, May 2014

Finite Type Transcendental Entire Functions Whose Buried Points Set Contains Unbounded Positive Real Interval ()

Feng Guo

Department of Mathematics, China University Mining & Technology, Beijing, China.

DOI: 10.4236/apm.2014.45027 PDF HTML 5,744 Downloads 6,614 Views

Abstract

Let fμ(z)=z·e^p(z)+μ with p(z) being real coefficient polynomial and it's leading coefficient be positive, μ∈R⁺, when p(z) and μ satisfy two certain conditions, buried point set of fμ(z) contains unbounded positive real interval.

Keywords

Transcendental Entire Functions, Julia Set, Buried Points Set, Real Interval

Share and Cite:

Guo, F. (2014) Finite Type Transcendental Entire Functions Whose Buried Points Set Contains Unbounded Positive Real Interval. Advances in Pure Mathematics, 4, 209-212. doi: 10.4236/apm.2014.45027.

Conflicts of Interest

The authors declare no conflicts of interest.

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