@article{Quan2022, 
author = {Junjie Quan},
title = {Explicit formulas of alternating multiple zeta star values        ζ    ⋆    (                    1        ¯              ,  {  1      }          m      −      1        ,                    1        ¯              ) and        ζ    ⋆    (  2  ,  {  1      }          m      −      1        ,                    1        ¯              )},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {1},
pages = {288-293},
keywords = {multiple harmonic (star) sums, multiple zeta (star) values, multiple polylogarithm function, alternating multiple zeta values, closed forms},
url = {https://www.sciopen.com/article/10.3934/math.2022019},
doi = {10.3934/math.2022019},
abstract = {In a recent paper [4], Xu studied some alternating multiple zeta values. In particular, he gave two recurrence formulas of alternating multiple zeta values        ζ    ⋆    (                    1        ¯              ,  {  1      }          m      −      1        ,                    1        ¯              ) and        ζ    ⋆    (  2  ,  {  1      }          m      −      1        ,                    1        ¯              ). In this paper, we will give the closed forms representations of        ζ    ⋆    (                    1        ¯              ,  {  1      }          m      −      1        ,                    1        ¯              ) and        ζ    ⋆    (  2  ,  {  1      }          m      −      1        ,                    1        ¯              ) in terms of single zeta values and polylogarithms.}
}