Factorial Supersymmetric Skew Schur Functions and Ninth Variation Determinantal Identities

The determinantal identities of Hamel and Goulden have recently been shown to apply a tableau-based ninth variation skew Schur functions. Here we extend this approach its results the analogous supersymmetric These tableaux are built on entries taken from an alphabet unprimed primed numbers that may be ordered in myriad different ways, each leading identity. At level corresponding all distinct but original notion supersymmetry is lost. It can remedied at sixth involving doubly infinite sequence factorial parameters. Moreover, it resulting functions independent ordering alphabet.