Explicit values of a q-multiple zeta-star function at roots of unity

Key Points

• Explicit formulas for q-multiple zeta-star functions at roots of unity are derived, facilitating further analysis.
• The study showcases relationships through determinants and Bell polynomials, underscoring a novel approach in mathematical expressions.
• Using generating functions, recurrence relations are obtained, offering pathways for additional value types.
• This work may enable deeper insights into q-multiple functions through unified expressions and their implications in number theory.