  The aim of this paper is to introduce the notions of Hom Gel'fand-Dorfman
bialgebra and Hom-Lie conformal algebra. In this paper, we give four
constructions of Hom Gel'fand-Dorfman bialgebras. Also, we provide a general
construction of Hom-Lie conformal algebras from Hom-Lie algebras. Finally, we
prove that a Hom Gel'fand-Dorfman bialgebra is equivalent to a Hom-Lie
conformal algebra of degree 2.
