Abstract
For the Dunkl operator \({\Lambda_\alpha \,\, (\alpha > -1/2)}\) on the space of entire functions on the complex space \({\mathbb{C}}\), the critical rate of growth for the integral means \({M_p(f,r)}\) of their hypercyclic functions \({f}\) is obtained. The rate of growth of the corresponding frequently hypercyclic functions is also analyzed.
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