On the Convergence of Branched Continued Fractions of a Special form in Angular Domains

摘要: We study the angular domains of convergence branched continued fractions a special form with complex partial denominators. By using sufficient criterion these positive elements and Stieltjes–Vitali theorem, we establish many-dimensional analog van Vleck for fractions, as well some other criteria under certain additional conditions imposed on fractions. The estimates rate are obtained in domains.