Special Functions and Recursively-Defined Polynomial Families for Python

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polpack

Special Functions and Recursively-Defined Polynomial Families for Python

polpack is a high-performance Python library for evaluating special functions and recursively-defined polynomial families. The numerical core is written in Fortran and compiled via f2py, providing efficient routines for mathematical and combinatorial computations.

It includes routines to evaluate classic families such as Bernoulli, Chebyshev, Gegenbauer, Hermite, Laguerre, and Legendre polynomials, among others.

Quick example

import numpy as np
import polpack

# Example: Compute Bell numbers
bell = np.zeros(11, dtype=np.int32)
polpack.bell(10, bell)
print(f"Bell numbers: {bell}")

Installation

pip install polpack

Requires Python 3.10+ and NumPy. See the full installation guide for conda, poetry, and source builds.

Documentation

Theory — mathematical background, polynomial families, and special functions
Quickstart — runnable examples
API Reference — function signatures and parameters
References — literature citations

License

LGPL-2.1 — see LICENSE.

Project details

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eggzec

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0.1.2

Apr 3, 2026

This version

0.1.1

Apr 3, 2026

0.1.0

Mar 31, 2026

0.0.1

Mar 30, 2026

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