On Diophantine approximations of Ramanujan type q-continued fractions

We shall consider arithmetical properties of the q-continued fractionsKn=1∞qsn(S0+S1qn+⋯+Shqhn)T0+T1qn+⋯+Tlqln,Si,Ti,q∈K,|q|v<1, and some related continued fractions where v   is a fixed valuation of an algebraic number field KK and s,h,l∈Ns,h,l∈N. In particular, we get sharp irrationality measures for certain Ramanujan, Ramanujan–Selberg, Eisenstein and Tasoev continued fractions.