On three general forms of multiple zeta(-star) values

Abstract: In this paper, we investigate three general forms of multiple zeta(-star) values. We use these values to give three new sum formulas for multiple zeta(-star) values with height $\leq 2$ and the evaluation of $\zeta^\star({1}^m,{2}^{n+1})$. We also give a new proof of sum formula of multiple zeta values.