Julia sets of semi-conjugated transcendental entire functions

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Suppose that f and g are two transcendental entire functions, and h is a non-constant periodic entire function. We denote the Julia set and Fatou set of f by J(f) and F(f), respectively. If f and g are semiconjugat-∈F(f) if and only if h(z) ∈F(g)), and this extends a result of Bergweiler.
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