Positive definite branched continued fractions of special form

R.I. Dmytryshyn

doi:10.15330/cmp.5.2.225-230

Positive definite 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.5.2.225-230

Keywords:

positive definite branched continued fraction of special form, quadratic form

Published online: 2013-12-30

Abstract

Research of the class of branched continued fractions of special form, whose denominators do not equal to zero, is proposed and the connection of such fraction with a certain quadratic form is established. It furnishes new opportunities for the investigation of convergence of branching continued fractions of special form.