Stirling polynomials and multiple zeta (star) functions at non-positive integers

Key Points

• Explicit formulas for multiple zeta functions at non-positive integers were derived using stirling polynomials, enhancing existing knowledge.
• The study reveals a connection between multiple zeta functions and multiple zeta star functions at non-positive integers, advancing theoretical insights.
• Connections to reverse values and generalized gregory coefficients were explored, showing ties to previous work by matsusaka, murahara, and onozuka.
• The implications of this research may extend to various fields of mathematics, especially in number theory and combinatorial identities.