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The aim is to explore the properties and applications of continued beta-fractions in formal power series.

January 22, 2026Open Access

Continued Beta-Fractions in the Field of Formal Power Series

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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.

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Explores continued beta-fractions in formal power series, suggesting new mathematical insights.

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Farah Abbes (2026) studied this question.

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