Recently, interest in delta-operator (or, δ-operator) formulated discrete-time systems (or, δ-systems) has seen an increase due mainly to their superior finite wordlength properties as compared to the more traditional shift-operator (or, q-operator) formulated discrete-time systems (or, q-systems). In addition, the δ-operator yields the differential operator as a limiting case enabling a unified treatment of both continuous- and discrete-time systems. In this work, we present certain quantities that may be regarded as Schur-Cohn minors applicable for δ-system characteristic polynomials. For this purpose, a recently introduced tabular method for stability checking of δ-systems is extended to the complex coefficient case. The results presented herein paves the way for developing effective algorithms for stability checking of two-and multi-dimensional δ-systems.