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Generalized Identities of Certain Continued Fractions

2019/07/29 by Shaoxiong Yuan, Yuan, Shaoxiong
Mathematics · Physics and Astronomy · #Advanced Mathematical Identities #Advanced Mathematical Theories and Applications #FOS: Mathematics #Number Theory (math.NT) #Statistical Mechanics and Entropy

paper · pdf · doi:10.48550/arxiv.1907.12459

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

Abstract

In this article, we will discover some new generalized identity regarding continued fractions. We will connect the results to Fibonacci numbers and Lucas numbers. For all the proof, we will use induction.

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