TITLE:
Finite Type Transcendental Entire Functions Whose Buried Points Set Contains Unbounded Positive Real Interval
AUTHORS:
Feng Guo
KEYWORDS:
Transcendental Entire Functions, Julia Set, Buried Points Set, Real Interval
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.4 No.5,
May
16,
2014
ABSTRACT:
Let
fμ(z)=z·ep(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.