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 23 articles )

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  1. Johansson, Fredrik; Blagouchine, Iaroslav V.: Computing Stieltjes constants using complex integration (2019)
  2. Fasi, Massimiliano; Higham, Nicholas J.: Multiprecision algorithms for computing the matrix logarithm (2018)
  3. Johansson, Fredrik: Numerical integration in arbitrary-precision ball arithmetic (2018)
  4. Navas-Palencia, Guillermo: High-precision computation of the confluent hypergeometric functions via Franklin-Friedman expansion (2018)
  5. Navas-Palencia, Guillermo: Fast and accurate algorithm for the generalized exponential integral (E_\nu(x)) for positive real order (2018)
  6. Asghar, Hassan Jameel; Kaafar, Mohamed Ali: When are identification protocols with sparse challenges safe? The case of the Coskun and Herley attack (2017)
  7. Garunkštis, Ramūnas; Tamošiūnas, Rokas: Symmetry of zeros of Lerch zeta-function for equal parameters (2017)
  8. Gates, Alexander J.; Ahn, Yong-Yeol: The impact of random models on clustering similarity (2017)
  9. Hokanson, Jeffrey M.: Projected nonlinear least squares for exponential Fitting (2017)
  10. Platt, David J.: Isolating some non-trivial zeros of zeta (2017)
  11. Candy, J.; Belli, E. A.; Bravenec, R. V.: A high-accuracy Eulerian gyrokinetic solver for collisional plasmas (2016)
  12. Navas-Palencia, Guillermo; Arratia, Argimiro: On the computation of confluent hypergeometric functions for large imaginary part of parameters (b) and (z) (2016)
  13. Albrecht, Martin R.; Cid, Carlos; Faugère, Jean-Charles; Fitzpatrick, Robert; Perret, Ludovic: On the complexity of the BKW algorithm on LWE (2015)
  14. Seri, Raffaello: A non-recursive formula for the higher derivatives of the Hurwitz zeta function (2015)
  15. Rubinstein-Salzedo, Simon: Period computations for covers of elliptic curves (2014)
  16. Huang, Zhi-Wei; Liu, Jueping: NumExp: numerical epsilon expansion of hypergeometric functions (2013)
  17. Kuhlman, Kristopher L.: Review of inverse Laplace transform algorithms for Laplace-space numerical approaches (2013)
  18. Buraczewski, A.; Stobińska, M.: Numerical model for macroscopic quantum superpositions based on phase-covariant quantum cloning (2012)
  19. Willis, Joshua L.: Acceleration of generalized hypergeometric functions through precise remainder asymptotics (2012)
  20. Kormanyos, Christopher: Algorithm 910: A portable C++ multiple-precision system for special-function calculations (2011)

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