hermite_polynomial_test

hermite_polynomial_test, a MATLAB program which calls hermite_polynomial() to evaluate the physicist's Hermite polynomial, the probabilist's Hermite polynomial, the Hermite function, and related functions.

Licensing:

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

Related Data and Programs:

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

Source Code:

• hermite_polynomial_test.m, calls all the tests;
• hermite_polynomial_test.sh, runs all the tests;
• hermite_polynomial_test.txt, the output file.

• hermite_polynomial_test01.m, tests h_polynomial_value;
• hermite_polynomial_test02.m, tests he_polynomial_value;
• hermite_polynomial_test03.m, tests hf_function_value;
• hermite_polynomial_test04.m, tests h_polynomial_zeros;
• hermite_polynomial_test05.m, tests he_polynomial_zeros;
• hermite_polynomial_test06.m, tests h_quadrature_rule;
• hermite_polynomial_test07.m, tests he_quadrature_rule;
• hermite_polynomial_test08.m, tests hn_exponential_product;
• hermite_polynomial_test09.m, tests hn_power_product;
• hermite_polynomial_test10.m, tests hen_exponential_product;
• hermite_polynomial_test11.m, tests hen_power_product;
• hermite_polynomial_test12.m, tests hf_exponential_product;
• hermite_polynomial_test13.m, tests hf_power_product;
• hermite_polynomial_test14.m, tests h_polynomial_coefficients;
• hermite_polynomial_test15.m, tests hf_polynomial_coefficients;
• hermite_polynomial_test16.m, tests Hermite projection using he_quadrature_rule and hen_polynomial;
• hermite_polynomial_test17.m, tests hen_projection and hen_projection_value;
• hermite_polynomial_test18.m, tests hen_projection_data;
• hermite_polynomial_plot01.m, tests hf_plot;
• hermite_polynomial_plot02.m, tests he_plot;
• he_plot.png, a plot of Hermite polynomials 0 through 4 over [-2,+2];
• hf_plot.png, a plot of Hermite functions 0 through 5 over [-5,+5];
• exp_fun.m, evaluates a function, to be projected; in this case, simply exp(x).
• poly1.m, evaluates the polynomial 1+2x+3x^2+4x^3+5x^5.