Rate of growth of hypercyclic and frequently hypercyclic functions for the Dunkl operator

For the Dunkl operator Λα (α > −1/2) on the space of entire functions on the complex space C, the critical rate of growth for the integral means Mp(f, r) of their hypercyclic functions f is obtained. The rate of growth of the corresponding frequently hypercyclic functions is also analyzed.Plan Andaluz de Investigación (Junta de Andalucía)Ministerio de Economía y CompetitividadFondo Europeo de Desarrollo Regiona