Commuting transcendental entire functions f and g with g = a f^p + b have equal escaping sets, filled Julia sets, and bungee sets.
C.: On the Fatou components of two permutable transcendental entire functions
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Equality of the dynamical sets of two commuting transcendental entire functions
Commuting transcendental entire functions f and g with g = a f^p + b have equal escaping sets, filled Julia sets, and bungee sets.