Some explicit values of an alternative <i>q</i> -multiple zeta function at roots of unity

Abstract Recently, various alternating multiple zeta values have been proposed and studied as variations of ordinary classical multiple zeta values and their general or modified forms. We consider alternating multiple zeta values as an application of alternating Stirling numbers based on our study of Stirling numbers. In this paper, we give the values of a certain kind of alternative $q$-multiple zeta functions at roots of unity.