special functions

This package provides both Python and Cython interfaces for Bessel functions and a few other special functions.

Features

• Lightweight: This package requires no python dependency at runtime.

• Cython interface: Both Python and Cython interfaces are available.

• Releasing GIL: Most importantly, the functions can be used in with nogil: environment, which is essential in parallel OpenMP applications with Cython.

Tutorial

Launch online interactive notebook with Binder.

Documentation

• Install
• List of Functions
• Jupyter Notebook

Functions User Guide

• Bessel Function, First Kind
• Bessel Function, Second Kind
• Bessel Function, Third Kind
• Modified Bessel Function, First Kind
• Modified Bessel Function, Second Kind
• Log Gamma Function

Development

• Package API
• Running Tests
• Change Log

Links

• Package on Anaconda Cloud

• Package on PyPI

• Source code on Github

How to Contribute

We welcome contributions via Github’s pull request. If you do not feel comfortable modifying the code, we also welcome feature request and bug report as Github issues.

Related Packages

• scipy.special: Many special functions are available in scipy.special package.

• G-Learn: A python package for machine learning using Gaussian process regression. This package makes use of special_functions.

Acknowledgements

• National Science Foundation #1520825

• American Heart Association #18EIA33900046

Citation

• Ameli, S. (2022). ameli/special_functions: (v0.1.0). Zenodo.

Credit

This package uses the following libraries:

[Amos-1986]

Amos, D. E. (1986). Algorithm 644: A portable package for Bessel functions of a complex argument and nonnegative order. ACM Trans. Math. Softw. 12, 3 (Sept. 1986), 265-273. DOI: https://doi.org/10.1145/7921.214331. Available at http://netlib.org/amos/.

[Cephes-1989]

Moshier, S. L. (1989). C language library with special functions for mathematical physics. Available at http://www.netlib.org/cephes.

Indices and tables

• Index

• Module Index

• Search Page