QUAESTIONES MATHEMATICAE, vol.40, no.3, pp.403-411, 2017 (SCI-Expanded)
We prove in terms of so-called Berezin symbols some theorems for Borel summability method for sequences and series of complex numbers. Namely, we characterize the Borel convergent sequences and series; prove regularity of Borel summability method, and prove a new Tauberian type theorem for Borel summability.