Inequalities for Humbert functions

Document Type : Original Article

Author

Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt

http://dx.doi.org/10.1016/j.joems.2013.04.012

Abstract

Let n P 1 be a fixed integer and let R be an (n+1)!-torsion free *-ring with identity element
e. If F, d:Rfi R are two additive mappings satisfying F(xn+1) = F(x)(x*)n +
xd(x)(x*)n1+ x2d(x)(x*)n2+   +xnd(x) for all x 2 R, then d is a Jordan *-derivation and F is
a generalized Jordan *-derivation on R.

Keywords