Evaluations of some Euler-type series via powers of the arcsin function

In this paper, by using special integrals and integer powers of the $ \arcsin $ function, we obtained the recurrences or explicit expressions of some parametric Euler-type series involving multiple harmonic sums and multiple $ t $-harmonic sums. According to our results, these Euler-type series are all expressible in terms of $ \pi $, $ \ln(2) $, and zeta values. In particular, by specifying the parameters, we presented as examples the evaluations of some special series, including some known ones in the literature and some new ones.