On Convergence and Truncation Error Bounds of 1-periodic Branched Continued Fraction of the Special Form

Abstract

Branched continued fractions with non-equivalent variables are natural generalization of C-fractions in solving of the problems of correspondence to multiple power series. We obtain branched continued fractions of the special form if values of variables are fixed. For 1-periodic branched continued fraction of the special form we established the conditions of convergence and uniform convergence, and the truncation error bounds