polpak


polpak, a MATLAB 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 GNU LGPL 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 MATLAB code which evaluates the Bernstein polynomials, useful for uniform approximation of functions;

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

clausen, a MATLAB code which evaluates a Chebyshev approximant to the Clausen function Cl2(x).

cordic, a MATLAB code which use the CORDIC method to compute certain elementary functions.

fn, a MATLAB code which approximates elementary and special functions using Chebyshev polynomials, by Wayne Fullerton.

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

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

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

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

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

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

spherical_harmonic, a MATLAB code which evaluates spherical harmonic functions.

test_values, a MATLAB code which contains some sample values of many mathematical functions.

Source Code:


Last revised on 15 July 2022.