Rogers-Ramanujan型连分数的构造方法
The Construction Method of Rogers-Ramanujan Type Continued Fractions
摘要: Rogers-Ramanujan连分数是Ramanujan笔记本的重要研究内容之一。本文利用两个已知Rogers恒等式，使用数学归纳法和递归关系式构造了一个新的Rogers-Ramanujan型连分数。
Abstract: The Rogers-Ramanujan type continued fraction is one of the significant research contents in Ramanujan’s notebooks. In this paper, by using two known Rogers’s identities, the mathematical induction and a recursive relation, a new Rogers-Ramanujan type continued fraction is constructed.
文章引用：刘梦蝶. Rogers-Ramanujan型连分数的构造方法[J]. 理论数学, 2025, 15(8): 66-75. https://doi.org/10.12677/pm.2025.158221

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