Alpan, G.Goncharov, A.2018-04-122018-04-1220171661-8254http://hdl.handle.net/11693/37449We extend results by Barnsley et al. about orthogonal polynomials on Julia sets to the case of generalized Julia sets. The equilibrium measure is considered. In addition, we discuss optimal smoothness of Green’s functions and Parreau–Widom criterion for a special family of real generalized Julia sets. © 2017, Springer International Publishing.EnglishJacobi matricesJulia setsOrthogonal polynomialsParreau-Widom sets37F1042C0530C85Article10.1007/s11785-017-0669-11661-8262