Positive definite branched continued fractions of special form

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 fra...

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Bibliographic Details
Main Author: R.I. Dmytryshyn
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2013-12-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Subjects:
Online Access:https://journals.pnu.edu.ua/index.php/cmp/article/view/1313
Description
Summary: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.
ISSN:2075-9827
2313-0210