Generating functions of multiple t-star values

Abstract

In this paper, we study the generating functions of multiple t-star values with an arbitrary number of blocks of twos, which are based on the results of the corresponding generating functions of multiple t-harmonic star sums. These generating functions can deduce an explicit expression of multiple t-star values. As applications, we obtain some evaluations of multiple t-star values that represent the relations between multiple t-star values and alternating multiple t-half values.