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                

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

Conflicts of Interest

The authors declare no conflicts of interest.

References

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