Dynamics of Permutable Transcendental Entire Functions
Dynamics of Permutable Transcendental Entire Functions
Let f and g be two permutable transcendental entire functions.Assume that f has the formWe shall investigate the dynamical properties of f and g and show that they have the same Julia sets and Fatou sets, i.e., J(f ) = J(g).This relates to an open question due to Baker.