教育与研究

一个 Rogers-Ramanujan 型连分数的构造

刘 梦蝶

重庆师范大学数学科学学院

DOI: https://doi.org/10.59429/jyyj.v7i6.10590

Keywords: Ramanujan 笔记本；Rogers-Ramanujan 连分数；q 级数；递归关系

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Abstract

Rogers-Ramanujan 连分数是 Ramanujan 笔记本的重要研究内容之一。发现和构造连分数是连分数理论的 重要研究内容之一。论文利用 Slater 和 Jackson 恒等式通过猜测相关量和证明递归关系构造了一个新的 RogersRamanujan 型连分数。

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References

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