Abstract
Let R be an associative ring with involution *. In this paper, we study an additive mapping F : R. R, namely generalized Jordan *-derivation, satisfying F(x2) = F(x) x * + xD(x) for any x. R associated with a Jordan *-derivation D on R. It is shown that, in case R as a prime *-ring with char(R) = 2, F is of the form F(x) = qx * + D(x) for any x. R. In the spirit of this result, we discuss the celebrated Posner's [27] second theorem and other results in the setting of generalized Jordan *-derivations.