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Karpatsʹkì Matematičnì Publìkacìï
Article . 2013 . Peer-reviewed
License: Elsevier TDM
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Karpatsʹkì Matematičnì Publìkacìï
Article
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zbMATH Open
Article . 2013
Data sources: zbMATH Open
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Positive definite branched continued fractions of special form

Authors: R.I. Dmytryshyn;

Positive definite branched continued fractions of special form

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.

Keywords

додатно визначений гiллястий ланцюговий дрiб спецiального вигляду, квадратична форма, positive definite branched continued fraction of special form, положительно определенная ветвящаяся цепная дробь специального вида, квадратичная форма, Continued fractions, positive definite branched continued fraction of special form, quadratic form, QA1-939, Convergence and divergence of continued fractions, Mathematics, quadratic form, Continued fractions; complex-analytic aspects

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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