Summary

mpmath delivers a comprehensive suite of specialized functions designed for high precision and full complex number support, offering access to an extensive collection of standard constants including pi, E, and golden ratio. It extends basic elementary operations like square root, exponential, logarithm, and trigonometry alongside hyperbolic functions and inverse functions. The library provides a wide range of mathematical constants, such as the Catalan, Aperys, Khinchins, Glaisher numbers, and the Lambert W function, along with advanced special functions like error functions and their inverses, alongside distributions and series expansions including the Riemann zeta function and Hurwitz zeta function. Additionally, mpmath computes Bernoulli numbers with exact and fast methods, as well as functions involving polynomials like Euler numbers and Bessel series. A notable addition is the integration capabilities for exponential, trigonometric, and logarithmic integrals, plus evaluations for Fibonacci and Stirling numbers, as well as Borel regularized series and 2D hypergeometric functions. The software is further equipped with Bessel functions, Hankel, Airy, and Coulomb functions, as well as associated Legendre functions, spherical harmonics, and generalization of Meijer G-function. These tools are essential for numerical evaluation within the Sage computer algebra system, which leverages mpmath as a core component for robust analysis and computation of these diverse mathematical structures.

Title

mpmath - Python library for arbitrary-precision floating-point arithmetic

Description

mpmath - Python library for arbitrary-precision floating-point arithmetic

Keywords

functions, function, precision, python, arithmetic, documentation, numbers, series, development, version, library, algebra, code, evaluation, inverse, riemann, real

NS Lookup

A 78.159.99.205

Dates

Created 2026-04-15

Updated 2026-04-15

Summarized 2026-04-16