function [ n_data, nu, x, fx ] = bessel_kn_values ( n_data ) %% BESSEL_KN_VALUES returns some values of the Kn Bessel function. % % Discussion: % % The modified Bessel functions In(Z) and Kn(Z) are solutions of % the differential equation % % Z^2 * W'' + Z * W' - ( Z^2 + N^2 ) * W = 0. % % In Mathematica, the function can be evaluated by: % % BesselK[n,x] % % Modified: % % 29 September 2004 % % Author: % % John Burkardt % % Reference: % % Milton Abramowitz and Irene Stegun, % Handbook of Mathematical Functions, % US Department of Commerce, 1964. % % Stephen Wolfram, % The Mathematica Book, % Fourth Edition, % Wolfram Media / Cambridge University Press, 1999. % % Parameters: % % Input/output, integer N_DATA. The user sets N_DATA to 0 before the % first call. On each call, the routine increments N_DATA by 1, and % returns the corresponding data; when there is no more data, the % output value of N_DATA will be 0 again. % % Output, integer NU, the order of the function. % % Output, real X, the argument of the function. % % Output, real FX, the value of the function. % n_max = 28; fx_vec = [ ... 0.4951242928773287E+02, ... 0.1624838898635177E+01, ... 0.2537597545660559E+00, ... 0.1214602062785638E+00, ... 0.6151045847174204E-01, ... 0.5308943712223460E-02, ... 0.2150981700693277E-04, ... 0.6329543612292228E-09, ... 0.7101262824737945E+01, ... 0.6473853909486342E+00, ... 0.8291768415230932E-02, ... 0.2725270025659869E-04, ... 0.3727936773826211E-22, ... 0.3609605896012407E+03, ... 0.9431049100596467E+01, ... 0.3270627371203186E-01, ... 0.5754184998531228E-04, ... 0.4367182254100986E-22, ... 0.1807132899010295E+09, ... 0.1624824039795591E+06, ... 0.9758562829177810E+01, ... 0.1614255300390670E-02, ... 0.9150988209987996E-22, ... 0.6294369360424535E+23, ... 0.5770856852700241E+17, ... 0.4827000520621485E+09, ... 0.1787442782077055E+03, ... 0.1706148379722035E-20 ]; nu_vec = [ ... 2, 2, 2, 2, ... 2, 2, 2, 2, ... 3, 3, 3, 3, ... 3, 5, 5, 5, ... 5, 5, 10, 10, ... 10, 10, 10, 20, ... 20, 20, 20, 20 ]; x_vec = [ ... 0.2E+00, ... 1.0E+00, ... 2.0E+00, ... 2.5E+00, ... 3.0E+00, ... 5.0E+00, ... 10.0E+00, ... 20.0E+00, ... 1.0E+00, ... 2.0E+00, ... 5.0E+00, ... 10.0E+00, ... 50.0E+00, ... 1.0E+00, ... 2.0E+00, ... 5.0E+00, ... 10.0E+00, ... 50.0E+00, ... 1.0E+00, ... 2.0E+00, ... 5.0E+00, ... 10.0E+00, ... 50.0E+00, ... 1.0E+00, ... 2.0E+00, ... 5.0E+00, ... 10.0E+00, ... 50.0E+00 ]; if ( n_data < 0 ) n_data = 0; end n_data = n_data + 1; if ( n_max < n_data ) n_data = 0; nu = 0; x = 0.0; fx = 0.0; else nu = nu_vec(n_data); x = x_vec(n_data); fx = fx_vec(n_data); end