Mpmath is a pure-Python library for arbitrary-precision floating-point arithmetic. It implements the standard functions from Python’s math and cmath modules (exp, log, sin, etc.), plus a few nonelementary special functions (gamma, zeta, etc.), and has utilities for arbitrary-precision numerical differentiation, integration, root-finding, and interval arithmetic. It supports unlimited exponent sizes, has full support for complex numbers, and offers better performance than Python’s standard decimal library. Mpmath is lightweight and easy to install or include in other software due to being written entirely in Python with no additional dependencies. (Source:

References in zbMATH (referenced in 59 articles )

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  1. Al-Mohy, Awad H.; Higham, Nicholas J.; Liu, Xiaobo: Arbitrary precision algorithms for computing the matrix cosine and its Fréchet derivative (2022)
  2. Jaiswal, Shashank: Non-linear Boltzmann equation on hybrid-unstructured non-conforming multi-domains (2022)
  3. Dubashinskiy, Mikhail: Infinite ascension limit: horocyclic chaos (2021)
  4. Farr, Ricky E.; Pauli, Sebastian; Saidak, Filip: Approximating and bounding fractional Stieltjes constants (2021)
  5. Fomichev, V. V.; Il’in, A. V.; Rogovskiy, A. I.; Begishev, R. R.; Mitrev, R. P.; Todorov, T. S.: Existence of periodic solutions of a third-order nonlinear system (2021)
  6. Hohage, Thorsten; Lehrenfeld, Christoph; Preuß, Janosch: Learned infinite elements (2021)
  7. Jiang, Shan; Yu, Haijun: Efficient spectral methods for quasi-equilibrium closure approximations of symmetric problems on unit circle and sphere (2021)
  8. Karvonen, Toni; Särkkä, Simo; Tanaka, Ken’ichiro: Kernel-based interpolation at approximate Fekete points (2021)
  9. Kuhlman, Kristopher L.; Malama, Bwalya: Uncoupling electrokinetic flow solutions (2021)
  10. Mehta, Viraf M.; Demirtas, Mehmet; Long, Cody; Marsh, David J. E.; McAllister, Liam; Stott, Matthew J.: Superradiance in string theory (2021)
  11. Pessoa, Pedro; Cafaro, Carlo: Information geometry for Fermi-Dirac and Bose-Einstein quantum statistics (2021)
  12. Renard, Florian; Wissocq, Gauthier; Boussuge, Jean-François; Sagaut, Pierre: A linear stability analysis of compressible hybrid lattice Boltzmann methods (2021)
  13. Smith, Graham; Stern, Ari; Tran, Hung; Zhou, Detang: On the Morse index of higher-dimensional free boundary minimal catenoids (2021)
  14. Sophie Hautphenne, Brendan Patch: Birth-and-death Processes in Python: The BirDePy Package (2021) arXiv
  15. Umeh, Obinna: Optimal computation of anisotropic galaxy three point correlation function multipoles using 2DFFTLOG formalism (2021)
  16. Akbary, Amir; Francis, Forrest J.: Euler’s function on products of primes in a fixed arithmetic progression (2020)
  17. Barthélémy, J.-F.; Bignonnet, Francois: The Eshelby problem of the confocal (N)-layer spheroid with imperfect interfaces and the notion of equivalent particle in thermal conduction (2020)
  18. Engel, Maximilian; Jardón-Kojakhmetov, Hildeberto: Extended and symmetric loss of stability for canards in planar fast-slow maps (2020)
  19. Johansson, Fredrik: Computing the Lambert (W) function in arbitrary-precision complex interval arithmetic (2020)
  20. Lipton, Alexander; Kaushansky, Vadim: On the first hitting time density for a reducible diffusion process (2020)

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