On escaping sets of some families of entire functions and dynamics of composite entire functions

D. Kumar

We consider two families of functions $\mathcal{F}=\{f_{{\la},ξ}(z)= e^{-z+\la}+ξ: \la,\,ξ\in\C, \RE{\la}<0, \REξ\geq 1\}$ and $\mathcal{F}'=\{f_{μ,{\ze}}(z)= e^{z+μ}+\ze: μ,\,\ze\…