Some properties of branched continued fractions of special form

R.I. Dmytryshyn

doi:10.15330/cmp.7.1.72-77

Some properties of branched continued fractions of special form

Authors

R.I. Dmytryshyn Vasyl Stefanyk Precarpathian National University, 57 Shevchenka str., 76018, Ivano-Frankivsk, Ukraine https://orcid.org/0000-0003-2845-0137

https://doi.org/10.15330/cmp.7.1.72-77

Keywords:

branched continued fraction of special form

Published online: 2015-07-03

Abstract

The fact that the values of the approximates of the positive definite branched continued fraction of special form are all in a certain circle is established for the certain conditions. The uniform convergence of branched continued fraction of special form, which is a particular case of the mentioned fraction, in the some limited parabolic region is investigated.