A simple algorithm for expanding a formal triple power series as a three-dimensional associated continued fractions

We propose an algorithm for expanding a formal triple power series into a three-dimensional corresponding to this series associated continued fraction, which generalized one of the simplest algorithms for expanding a formal power series into a corresponding continued fraction, namely the Viskovatov algorithm.

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Publication Details

Journal
Researches in Mathematics
Published
2025-12-12
DOI
https://doi.org/10.15421/242517
Primary Topic
Polynomial and algebraic computation
Type
article
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article

A simple algorithm for expanding a formal triple power series as a three-dimensional associated continued fractions

Khrystyna Kuchmins'ka, Rostyslav Deyneka
Researches in Mathematics
Polynomial and algebraic computation
article

A simple algorithm for expanding a formal triple power series as a three-dimensional associated continued fractions

Khrystyna Kuchmins'ka, Rostyslav Deyneka
article en

Abstract

We propose an algorithm for expanding a formal triple power series into a three-dimensional corresponding to this series associated continued fraction, which generalized one of the simplest algorithms for expanding a formal power series into a corresponding continued fraction, namely the Viskovatov algorithm.

Researches in MathematicsVol. 33(2)
Pidstryhach Institute for Applied Problems of Mechanics and Mathematics (UA), Lviv Polytechnic National University (UA)
Openalex Percentile: Top 61%
Polynomial and algebraic computation
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