polpak

polpak, a C++ code which evaluates a variety of mathematical functions, polynomials, and sequences, including Bell, Benford, Bernoulli, Bernstein, Cardan, Catalan, Charlier, Chebyshev, Collatz, Delannoy, Euler, Fibonacci, Gegenbauer, Gudermannian, Harmonic, Hermite, Hofstadter, Jacobi, Krawtchouk, Laguerre, Lambert, Legendre, Lerch, Meixner, Mertens, Moebius, Motzkin, Phi, Stirling, Tau, Tribonacci, Zernike.

Licensing:

The computer code and data files described and made available on this web page are distributed under the MIT license.

Languages:

polpak is available in a C version and a C++ version and a Fortran90 version and a MATLAB version and an Octave version and a Python version

Related Data and Programs:

polpak_test

bernstein_polynomial, a C++ code which evaluates the Bernstein polynomials, useful for uniform approximation of functions;

besselj, a C++ code which evaluates Bessel J functions of noninteger order.

chebyshev_polynomial, a C++ code which evaluates the Chebyshev polynomial and associated functions.

clausen, a C++ code which evaluates a Chebyshev interpolant to the Clausen function Cl2(x).

cordic, a C++ code which uses the CORDIC method to compute certain elementary functions.

fn, a C++ code which evaluates elementary and special functions, by Wayne Fullerton.

gsl_test a C++ code which evaluates many special functions.

hermite_polynomial, a C++ code which evaluates the physicist's Hermite polynomial, the probabilist's Hermite polynomial, the Hermite function, and related functions.

jacobi_polynomial, a C++ code which evaluates the Jacobi polynomial and associated functions.

laguerre_polynomial, a C++ code which evaluates the Laguerre polynomial, the generalized Laguerre polynomial, and the Laguerre function.

legendre_polynomial, a C++ code which evaluates the Legendre polynomial and associated functions.

legendre_product_polynomial, a C++ code which defines Legendre product polynomials, creating a multivariate polynomial as the product of univariate Legendre polynomials.

lobatto_polynomial, a C++ code which evaluates Lobatto polynomials, similar to Legendre polynomials except that they are zero at both endpoints.

test_values, a C++ code which stores values of many mathematical functions, and can be used for testing.

Reference:

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Source Code:

Last revised on 31 March 2020.