On Jordan (θ,∅)*-biderivations in Rings with Involution

Let R be a ring with involution. In the present paper, we characterize biadditive mappings which satisfies some functional identities related to symmetric Jordan (θ,∅)*-biderivation of prime rings with involution. In particular, we prove that on a 2-torsion free prime ring with involution, every symmetric Jordan triple (θ,∅)*-biderivation is a symmetric Jordan (θ,∅)*-biderivation.