Hom-Leibniz Conformal Algebras

This paper mainly studies Hom-Leibniz conformal algebras.In this paper,some basic properties and corresponding constructions of Hom-Leibniz conformal algebras are given.Also,we discuss the relationship between Hom-Leibniz conformal algebras and formal distribution Hom-Leibniz algebras.Meanwhile,different kinds of conformal algebras are linked by conformal bilinear forms,and the theory of cohomology and generalized conformal derivations of Hom-Leibniz conformal algebras are studied.Also,we give the definition of BiHom-Leibniz conformal algebras,and we find the correspondence between Hom-Leibniz conformal algebras and BiHom-Leibniz conformal algebras.