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arXiv 1906.01088astro-ph.IMphysics.comp-ph
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hankel:用于执行简单而准确的Hankel转换的Python库

hankel: A Python library for performing simple and accurate Hankel transformations

Steven G. Murray, Francis J. Poulin

摘要:

本文介绍了\textsc{hankel},一个纯粹的Python代码解决Hankel型积分和变换。这种变换在物理科学中很常见,特别是在任意维度上作为角对称傅立叶变换的径向解出现。该代码利用了通过一维汉克尔变换解决此类变换的优点-增加了概念上的简单性和效率-并以用户友好和灵活的Python语言实现它们。我们讨论了所采用的方法的几个局限性,并指出代码的广泛文档以获得更多示例。

英文摘要:

This paper presents \textsc{hankel}, a pure-python code for solving Hankel-type integrals and transforms. Such transforms are common in the physical sciences, especially appearing as the radial solution to angularly symmetric Fourier Transforms in arbitrary dimensions. The code harnesses the advantages of solving such transforms via the one-dimensional Hankel transform -- an increase in conceptual simplicity and efficiency -- and implements them in the user-friendly and flexible Python language. We discuss several limitations of the adopted method, and point to the code's extensive documentation for further examples.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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