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

We consider two families of functions $$\mathcal{F}$={f_{{\la},{\xi}}(z)= e^{-z+\la}+\xi: \la,,\xi\in\C, \RE{\la}<0, \RE\xi\geq 1}$and$$\mathcal{F}$‘={f_{{\mu},{\ze}}(z)= e^{z+\mu}+\ze: \mu,,\ze\in\C, \RE{\mu}<0, \RE\ze\leq-1}$andinvestigatetheescapingsetsofmembersofthefamily$\mathcal F$and$\mathcal F’.$ We also consider the dynamics of composite entire functions and provide conditions for equality of escaping sets of two transcendental entire functions.