On the Lie triple derivation of Hom-Lie superalgebras

Consider a Hom-Lie superalgebra, denoted by ??. In this paper, we inquire the Lie triple derivation hTDer(?? ) and generalized Lie triple derivation hGTDer(?? ) of Hom-Lie superalgebra. Later, we address the triple centroid, triple quasi-centroid and central triple derivations of Hom-Lie superalgebra. Moreover, we attempt to show the relationship of triple centroid, triple quasi-centroid and central triple derivation with hTDer(?? ) and hGTDer(?? ). We give complete classification of triple derivations of Hom-Lie superalgebra, where we show that for the simple Hom-Lie superalgebras hTDer(?? ) = hDer(?? ).