
$(2,1,\dots,1)$-periodic branched continued fraction of the special form is defined. Conditions of convergence are established for 2-periodic continued fraction and $(2,1,\dots,1)$-periodic branched continued fraction of the special form. Truncation error bounds are estimated for these fractions under additional conditions.
periodic branched continued fractions of the special form, convergence, periodic branching continued fractions of the special form, periodic branched continued fractions of the special form, convergence, QA1-939, Convergence and divergence of continued fractions, періодичні гіллясті ланцюгові дроби спеціального вигляду, збіжність, Mathematics, Continued fractions; complex-analytic aspects
periodic branched continued fractions of the special form, convergence, periodic branching continued fractions of the special form, periodic branched continued fractions of the special form, convergence, QA1-939, Convergence and divergence of continued fractions, періодичні гіллясті ланцюгові дроби спеціального вигляду, збіжність, Mathematics, Continued fractions; complex-analytic aspects
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