Transformation formulas of finite sums into continued fractions

2019/12/29 by Daniel Duverney, Duverney, Daniel, Takeshi Kurosawa +3
Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Mathematical Dynamics and Fractals #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1912.12565

openalex publication_date 2019/12/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We state and prove three general formulas allowing to transform formal finite sums into formal continued fractions and apply them to generalize certain expansions in continued fractions given by Hone and Varona.

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