?Mathematical formulae have been encoded as MathML and are displayed in this HTML version using MathJax in order to improve their display. Uncheck the box to turn MathJax off. This feature requires Javascript. Click on a formula to zoom. Abstract In this paper, we establish that inequality systems involving a class of high-order separable polynomials exhibit hidden convexity: Their associated epigraphical sets are convex sets even when the underlying polynomials are not convex.