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

## TL;DR

The paper introduces 'hankel', a Python library that simplifies and accelerates the computation of Hankel transforms, which are vital in physical sciences for radial Fourier analysis in multiple dimensions.

## Contribution

It provides a pure Python implementation of Hankel transforms, emphasizing simplicity, efficiency, and usability for scientific computations.

## Key findings

- Efficient computation of Hankel transforms in Python.
- Applicable to radial Fourier transforms in physics.
- Extensive documentation and examples provided.

## Abstract

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.