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Continued Beta-Fractions in the Field of Formal Power Series | Synapse

January 22, 20260 citationsOpen Access

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Continued Beta-Fractions in the Field of Formal Power Series

Key Points

The aim is to explore the properties and applications of continued beta-fractions in formal power series.
Analysis of mathematical structures and properties of continued beta-fractions.
Investigation of their convergence behaviors.
Application of algebraic methods to formal power series.
Established relationships between continued beta-fractions and formal power series.
Identified conditions for convergence within this mathematical framework.

Abstract

Continued Beta-Fractions in the Field of Formal Power Series

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Cite This Study

Farah Abbes (Tue,) studied this question.

synapsesocial.com/papers/6971bdec642b1836717e297a https://doi.org/https://doi.org/10.5281/zenodo.18309997

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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1Multidimensional Continued Fractions over the Field of Formal Power Series2026
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3Expansions in completions of global function fields2024
4Rational formal power series2024
5Continued fractions in the field of 𝑝-adic numbers2024 · 9 citations