{"categories":[{"label":"Scientific/Engineering","url":"https://skillfed.io/packages/category/scientific-engineering/7"},{"label":"Utilities","url":"https://skillfed.io/packages/category/utilities/9"}],"enrichment":{"capability":"Computes Hankel transforms and integrals using Ogata's quadrature method, handling the oscillatory nature of Bessel function integration for radially symmetric problems.","skillfed_tags":["numerical-integration","bessel-functions","fourier-analysis"],"use_cases":["Computing Hankel transforms for wave propagation problems in cylindrically symmetric media.","Evaluating radially symmetric Fourier transforms in image processing or diffraction analysis.","Solving integral equations involving Bessel functions in mathematical physics.","Performing accurate numerical integration of oscillatory functions weighted by Bessel functions.","Analyzing correlation functions with radial symmetry in statistical applications."],"what_it_does":"Hankel is a Python library that solves Hankel transforms and integrals\u2014a class of integral transforms needed whenever Fourier analysis must be applied to radially symmetric fields. The core problem it addresses is that standard numerical integration schemes fail on these transforms because Bessel functions oscillate wildly, making quadrature unreliable. The package implements Ogata's method, which locates the zeros of the Bessel function to construct an accurate and fast quadrature scheme.\n\nThe library is built on numpy, scipy, and mpmath, and is designed for researchers and engineers working in fields where radial symmetry and Fourier analysis intersect. It supports arbitrary-order transforms, includes built-in support for radially symmetric Fourier transforms, and is thoroughly tested. The package is production-stable, actively maintained, and requires Python 3.6 or later.","worth_installing":"Yes. The package solves a specific, well-defined numerical problem (Hankel transforms via Ogata's method) with low install friction, permissive licensing, no known vulnerabilities, active maintenance, and production-stable status. Install it if you need accurate Hankel transforms or radially symmetric Fourier analysis."},"id":"hankel","links":{"html":"https://skillfed.io/packages/hankel","md":"https://skillfed.io/packages/hankel.md","pypi":"https://pypi.org/project/hankel/"},"maintenance":{"status":"active"},"meta":{"latest_release":"2023-07-27","license_spdx":null,"license_treatment":"permissive","name":"hankel","python_support":"supports_current","summary":"Hankel Transformations using method of Ogata 2005"},"popularity":{"monthly_downloads":132031,"position":11567,"tier":"top_15000"},"security":{"n_vulnerabilities":0},"version":"1.2.2"}