Jacobi, Legendre, Chebyshev and other orthogonal polynomials associated Legendre functions spherical harmonics
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Jacobi elliptic functions and Jacobi theta functions Riemann zeta function (including evaluation with the Riemann-Siegel expansion), Hurwitz zeta function, Riemann-Siegel and related functions Riemann zeta zeros īernoulli numbers (fast numerical and exact computation of large Bernoulli numbers), Bernoulli polynomials, Euler numbers and polynomials īessel functions Hankel, Struve, Kelvin, Whittaker, Airy, Coulomb functions Bessel function zeros parabolic cylinder functions Ĭomplete and incomplete elliptic integrals (Legendre and Carlsen forms) Gamma functions (complete and incomplete), factorials, double factorials and binomial coefficients, the log-gamma function complete and incomplete beta functions exponential and trigonometric integrals īarnes G-function, super- and hyperfactorials The error function (erf), imaginary and complementary error functions the inverse error function of a real argument normal distribution functions Mathematical constants (pi, e, the golden ratio, Euler's constant gamma, Catalan's, Apery's, Khinchin's and Glaisher's constants)
MPMATH GITHUB CPLOT FULL
Mpmath implements a huge number of special functions, with arbitrary precision and full support for complex numbers: Elementary functions (sqrt, exp, log, trigonometric, hyperbolic and inverse functions) Linear algebra (linear system solving, LU factorization, matrix inverse, matrix norms, matrix exponentials/logarithms/square roots, eigenvalues, singular values, QR factorization).Integer relation detection (constant recognition).
MPMATH GITHUB CPLOT SERIES
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See 100 mpmath one-liners for pi and the documentation links below for many more examples! The following example computes 50 digits of pi by numerically evaluating the Gaussian integral with mpmath. It has been developed by Fredrik Johansson since 2007, with help from many contributors.
MPMATH GITHUB CPLOT FREE
Mpmath is a free (BSD licensed) Python library for real and complex floating-point arithmetic with arbitrary precision.