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test_values.html
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<html>
<head>
<title>
TEST_VALUES - Sample Function Values
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
TEST_VALUES <br> Sample Function Values
</h1>
<hr>
<p>
<b>TEST_VALUES</b>
is a MATLAB library which
returns a few selected values of various functions.
</p>
<p>
The intent of TEST_VALUES is to provide a means of making
very simple tests for correctness of software designed to compute
a variety of functions. The testing can be done automatically.
The data provided is generally skimpy, and might not test the
algorithm over a suitably wide range. It does, however, provide
a small amount of reassurance that a given computation is (or
is not) computing the appropriate quantity, and doing so
reasonably accurately.
</p>
<h3 align = "center">
Licensing:
</h3>
<p>
The computer code and data files made available on this web page
are distributed under
<a href = "../../txt/gnu_lgpl.txt">the GNU LGPL license.</a>
</p>
<h3 align = "center">
Languages:
</h3>
<p>
<b>TEST_VALUES</b> is available in
<a href = "../../c_src/test_values/test_values.html">a C version</a> and
<a href = "../../cpp_src/test_values/test_values.html">a C++ version</a> and
<a href = "../../f77_src/test_values/test_values.html">a FORTRAN77 version</a> and
<a href = "../../f_src/test_values/test_values.html">a FORTRAN90 version</a> and
<a href = "../../math_src/test_values/test_values.html">a MATHEMATICA version</a> and
<a href = "../../m_src/test_values/test_values.html">a MATLAB version</a> and
<a href = "../../py_src/test_values/test_values.html">a Python version</a>.
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../m_src/cordic/cordic.html">
CORDIC</a>,
a MATLAB library which
use the CORDIC method to compute certain elementary functions.
</p>
<p>
<a href = "../../m_src/fn/fn.html">
FN</a>,
a MATLAB library which
approximates elementary and special functions using Chebyshev polynomials,
by Wayne Fullerton.
</p>
<p>
<a href = "../../cpp_src/gsl/gsl.html">
GSL</a>,
a C++ library which
evaluates many special functions.
</p>
<p>
<a href = "../../m_src/legendre_polynomial/legendre_polynomial.html">
LEGENDRE_POLYNOMIAL</a>,
a MATLAB library which
evaluates the Legendre polynomial and associated functions.
</p>
<p>
<a href = "../../m_src/polpak/polpak.html">
POLPAK</a>,
a MATLAB library which
computes various
mathematical functions;
test values for many of these functions are available in TEST_VALUES.
</p>
<p>
<a href = "../../m_src/prob/prob.html">
PROB</a>,
a MATLAB library which
computes various statistical
functions; test values for many of these functions are available in TEST_VALUES.
</p>
<p>
<a href = "../../f77_src/specfun/specfun.html">
SPECFUN</a>,
a FORTRAN77 library which
computes various
special functions, particularly Bessel functions.
</p>
<p>
<a href = "../../f_src/steam/steam.html">
STEAM</a>,
a FORTRAN90 library which
computes various functions related
to the physical properties of water; test values for many of these
functions are available in TEST_VALUES.
</p>
<h3 align = "center">
Reference:
</h3>
<p>
<ol>
<li>
Milton Abramowitz, Irene Stegun,<br>
Handbook of Mathematical Functions,<br>
National Bureau of Standards, 1964,<br>
ISBN: 0-486-61272-4,<br>
LC: QA47.A34.
</li>
<li>
Robert Corless, Gaston Gonnet, David Hare, David Jeffrey,
Donald Knuth,<br>
On the Lambert W Function,<br>
Advances in Computational Mathematics,<br>
Volume 5, 1996, pages 329-359.
</li>
<li>
Gerard Cornuejols, Regina Urbaniak, Robert Weismantel, Laurence Wolsey,<br>
Decomposition of Integer Programs and of Generating Sets,<br>
in Algorithms - ESA '97,<br>
Lecture Notes in Computer Science 1284,<br>
edited by R Burkard, G Woeginger,<br>
Springer, 1997, pages 92-103,<br>
LC: QA76.9.A43.E83.
</li>
<li>
Marc Deleglise, Joel Rivat,<br>
Computing the Summation of the Moebius Function,<br>
Experimental Mathematics,<br>
Volume 5, 1996, pages 291-295.
</li>
<li>
Lester Haar, John Gallagher, George Kell,<br>
NBS/NRC Steam Tables:<br>
Thermodynamic and Transport Properties and Computer Programs
for Vapor and Liquid States of Water in SI Units,<br>
Hemisphere Publishing Corporation, Washington, 1984,<br>
ISBN: 0-89116-353-0,<br>
LC: TJ270.H3.
</li>
<li>
Brian Hayes,<br>
"Why W?",<br>
The American Scientist,<br>
Volume 93, March-April 2005, pages 104-108.
</li>
<li>
Kanti Mardia, Peter Jupp,<br>
Directional Statistics,<br>
Wiley, 2000,<br>
ISBN: 0471953334,<br>
LC: QA276.M335
</li>
<li>
Allan McLeod,<br>
Algorithm 757:
MISCFUN: A software package to compute uncommon
special functions,<br>
ACM Transactions on Mathematical Software,<br>
Volume 22, Number 3, September 1996, pages 288-301.
</li>
<li>
National Bureau of Standards, <br>
Tables of the Bivariate Normal Distribution and Related Functions,<br>
Applied Mathematics Series, Number 50, 1959.
</li>
<li>
Robert Owens,<br>
An Algorithm to Solve the Frobenius Problem,<br>
Mathematics Magazine,<br>
Volume 76, Number 4, October 2003, 264-275.
</li>
<li>
Karl Pearson,<br>
Tables of the Incomplete Beta Function,<br>
Cambridge University Press, 1968,<br>
ISBN: 0521059224,<br>
LC: QA351.P38.
</li>
<li>
Frank Powell,<br>
Statistical Tables for Sociology, Biology and Physical Sciences,<br>
Cambridge University Press, 1982,<br>
ISBN: 0521284732,<br>
LC: QA276.25.S73.
</li>
<li>
Edward Reingold, Nachum Dershowitz,<br>
Calendrical Calculations: The Millennium Edition,<br>
Cambridge University Press, 2001,<br>
ISBN: 0-521-77752-6,<br>
LC: CE12.R45.
</li>
<li>
Johannes van der Corput,<br>
Verteilungsfunktionen,<br>
Proc Akad Amsterdam,<br>
Volume 38, 1935, <br>
Volume 39, 1936.
</li>
<li>
Eric Weisstein,<br>
CRC Concise Encyclopedia of Mathematics,<br>
CRC Press, 2002,<br>
Second edition,<br>
ISBN: 1584883472,<br>
LC: QA5.W45
</li>
<li>
Stephen Wolfram,<br>
The Mathematica Book,<br>
Fourth Edition,<br>
Cambridge University Press, 1999,<br>
ISBN: 0-521-64314-7,<br>
LC: QA76.95.W65.
</li>
<li>
Shanjie Zhang, Jianming Jin,<br>
Computation of Special Functions,<br>
Wiley, 1996,<br>
ISBN: 0-471-11963-6,<br>
LC: QA351.C45.
</li>
<li>
Daniel Zwillinger, editor,<br>
CRC Standard Mathematical Tables and Formulae,<br>
30th Edition,<br>
CRC Press, 1996,<br>
ISBN: 0-8493-2479-3,<br>
LC: QA47.M315.
</li>
<li>
Daniel Zwillinger, Steven Kokoska,<br>
Standard Probability and Statistical Tables,<br>
CRC Press, 2000,<br>
ISBN: 1-58488-059-7,<br>
LC: QA273.3.Z95.
</li>
</ol>
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "abram0_values.m">abram0_values.m</a>,
returns selected values of the Abramowitz function of order 0.
</li>
<li>
<a href = "abram1_values.m">abram1_values.m</a>,
returns selected values of the Abramowitz function of order 1.
</li>
<li>
<a href = "abram2_values.m">abram2_values.m</a>,
returns selected values of the Abramowitz function of order 2.
</li>
<li>
<a href = "agm_values.m">
agm_values.m</a>,
returns selected values of the arithmetic geometric mean function.
</li>
<li>
<a href = "airy_ai_values.m">airy_ai_values.m</a>,
returns selected values of the Airy Ai function.
</li>
<li>
<a href = "airy_ai_int_values.m">airy_ai_int_values.m</a>,
returns selected values of the integral of the Airy Ai function.
</li>
<li>
<a href = "airy_ai_prime_values.m">airy_ai_prime_values.m</a>,
returns selected values of the derivative of the Airy function Ai.
</li>
<li>
<a href = "airy_bi_values.m">airy_bi_values.m</a>,
returns selected values of the Airy Bi function.
</li>
<li>
<a href = "airy_bi_int_values.m">airy_bi_int_values.m</a>,
returns selected values of the integral of the Airy Bi function.
</li>
<li>
<a href = "airy_bi_prime_values.m">airy_bi_prime_values.m</a>,
returns selected values of the derivative of the Airy function Bi.
</li>
<li>
<a href = "airy_cai_values.m">airy_cai_values.m</a>,
returns selected values of the Airy Ai function for complex argument.
</li>
<li>
<a href = "airy_cbi_values.m">airy_cbi_values.m</a>,
returns selected values of the Airy Bi function for complex argument.
</li>
<li>
<a href = "airy_gi_values.m">airy_gi_values.m</a>,
returns selected values of the Airy Gi function.
</li>
<li>
<a href = "airy_hi_values.m">airy_hi_values.m</a>,
returns selected values of the Airy Hi function.
</li>
<li>
<a href = "arccos_values.m">arccos_values.m</a>,
returns selected values of the arc cosine function.
</li>
<li>
<a href = "arccosh_values.m">arccosh_values.m</a>,
returns selected values of the hyperbolic arc cosine function.
</li>
<li>
<a href = "arcsin_values.m">arcsin_values.m</a>,
returns selected values of the arc sine function.
</li>
<li>
<a href = "arcsinh_values.m">arcsinh_values.m</a>,
returns selected values of the hyperbolic arc sine function.
</li>
<li>
<a href = "arctan_values.m">arctan_values.m</a>,
returns selected values of the arc tangent function.
</li>
<li>
<a href = "arctan_int_values.m">arctan_int_values.m</a>,
returns selected values of the arctangent integral.
</li>
<li>
<a href = "arctan2_values.m">arctan2_values.m</a>,
returns selected values of the arc tangent function of two arguments.
</li>
<li>
<a href = "arctanh_values.m">arctanh_values.m</a>,
returns selected values of the hyperbolic arc tangent function.
</li>
<li>
<a href = "bei0_values.m">bei0_values.m</a>,
returns selected values of the Kelvin BEI function for NU = 0.
</li>
<li>
<a href = "bei1_values.m">bei1_values.m</a>,
returns selected values of the Kelvin BEI function for NU = 1.
</li>
<li>
<a href = "bell_values.m">bell_values.m</a>,
returns selected values of the Bell numbers.
</li>
<li>
<a href = "ber0_values.m">ber0_values.m</a>,
returns selected values of the Kelvin BER function for NU = 0.
</li>
<li>
<a href = "ber1_values.m">ber1_values.m</a>,
returns selected values of the Kelvin BER function for NU = 1.
</li>
<li>
<a href = "bernoulli_number_values.m">bernoulli_number_values.m</a>,
returns selected values of the Bernoulli numbers.
</li>
<li>
<a href = "bernoulli_poly_values.m">bernoulli_poly_values.m</a>,
returns selected values of the Bernoulli polynomials.
</li>
<li>
<a href = "bernstein_poly_01_values.m">bernstein_poly_01_values.m</a>,
returns selected values of the Bernstein polynomials.
</li>
<li>
<a href = "bessel_i0_int_values.m">bessel_i0_int_values.m</a>
returns some values of the integral of the I0 Bessel function.
</li>
<li>
<a href = "bessel_i0_spherical_values.m">bessel_i0_spherical_values.m</a>
returns some values of the spherical Bessel function i0.
</li>
<li>
<a href = "bessel_i0_values.m">bessel_i0_values.m</a>
returns some values of the I0 Bessel function.
</li>
<li>
<a href = "bessel_i1_spherical_values.m">bessel_i1_spherical_values.m</a>
returns some values of the spherical Bessel function i1.
</li>
<li>
<a href = "bessel_i1_values.m">bessel_i1_values.m</a>
returns some values of the I1 Bessel function.
</li>
<li>
<a href = "bessel_in_values.m">bessel_in_values.m</a>
returns some values of the In Bessel function.
</li>
<li>
<a href = "bessel_ix_values.m">bessel_ix_values.m</a>
returns some values of the In Bessel function for NONINTEGER order.
</li>
<li>
<a href = "bessel_j0_int_values.m">bessel_j0_int_values.m</a>
returns some values of the integral of the J0 Bessel function.
</li>
<li>
<a href = "bessel_j0_spherical_values.m">
bessel_j0_spherical_values.m</a>
returns some values of the Spherical Bessel function j0.
</li>
<li>
<a href = "bessel_j0_values.m">bessel_j0_values.m</a>
returns some values of the J0 Bessel function.
</li>
<li>
<a href = "bessel_j1_spherical_values.m">
bessel_j1_spherical_values.m</a>
returns some values of the Spherical Bessel function j1.
</li>
<li>
<a href = "bessel_j1_values.m">bessel_j1_values.m</a>
returns some values of the J1 Bessel function.
</li>
<li>
<a href = "bessel_jn_values.m">bessel_jn_values.m</a>
returns some values of the Jn Bessel function.
</li>
<li>
<a href = "bessel_jx_values.m">bessel_jx_values.m</a>
returns some values of the Jn Bessel function for NONINTEGER order.
</li>
<li>
<a href = "bessel_k0_int_values.m">bessel_k0_int_values.m</a>
returns some values of the integral of the K0 Bessel function.
</li>
<li>
<a href = "bessel_k0_values.m">bessel_k0_values.m</a>
returns some values of the K0 Bessel function.
</li>
<li>
<a href = "bessel_k1_values.m">bessel_k1_values.m</a>
returns some values of the K1 Bessel function.
</li>
<li>
<a href = "bessel_kn_values.m">bessel_kn_values.m</a>
returns some values of the Kn Bessel function.
</li>
<li>
<a href = "bessel_kx_values.m">bessel_kx_values.m</a>
returns some values of the Kn Bessel function for NONINTEGER order.
</li>
<li>
<a href = "bessel_y0_int_values.m">bessel_y0_int_values.m</a>
returns some values of the integral of the Y0 Bessel function.
</li>
<li>
<a href = "bessel_y0_spherical_values.m">
bessel_y0_spherical_values.m</a>
returns some values of the Spherical Bessel function y0.
</li>
<li>
<a href = "bessel_y0_values.m">bessel_y0_values.m</a>
returns some values of the Y0 Bessel function.
</li>
<li>
<a href = "bessel_y1_spherical_values.m">
bessel_y1_spherical_values.m</a>
returns some values of the Spherical Bessel function y1.
</li>
<li>
<a href = "bessel_y1_values.m">bessel_y1_values.m</a>
returns some values of the Y1 Bessel function.
</li>
<li>
<a href = "bessel_yn_values.m">bessel_yn_values.m</a>
returns some values of the Yn Bessel function.
</li>
<li>
<a href = "bessel_yx_values.m">bessel_yx_values.m</a>
returns some values of the Yn Bessel function for NONINTEGER order.
</li>
<li>
<a href = "beta_cdf_values.m">beta_cdf_values.m</a>
returns some values of the Beta CDF.
</li>
<li>
<a href = "beta_inc_values.m">beta_inc_values.m</a>
returns some values of the incomplete Beta function.
</li>
<li>
<a href = "beta_log_values.m">beta_log_values.m</a>
returns some values of the logarithm of the Beta function.
</li>
<li>
<a href = "beta_noncentral_cdf_values.m">beta_noncentral_cdf_values.m</a>
returns some values of the noncentral incomplete Beta function.
</li>
<li>
<a href = "beta_values.m">beta_values.m</a>
returns some values of the Beta function.
</li>
<li>
<a href = "binomial_values.m">binomial_values.m</a>
returns some values of the binomial coefficients.
</li>
<li>
<a href = "binomial_cdf_values.m">binomial_cdf_values.m</a>
returns some values of the binomial CDF.
</li>
<li>
<a href = "bivariate_normal_cdf_values.m">
bivariate_normal_cdf_values.m</a>
returns some values of the bivariate normal CDF.
</li>
<li>
<a href = "catalan_values.m">catalan_values.m</a>
returns some values of the Catalan numbers.
</li>
<li>
<a href = "cauchy_cdf_values.m">cauchy_cdf_values.m</a>
returns some values of the Cauchy CDF.
</li>
<li>
<a href = "cbrt_values.m">cbrt_values.m</a>
returns some values of the cube root function.
</li>
<li>
<a href = "cheby_t_poly_values.m">cheby_t_poly_values.m</a>
returns values of the Chebyshev polynomial T(n,x).
</li>
<li>
<a href = "cheby_u_poly_values.m">cheby_u_poly_values.m</a>
returns values of the Chebyshev polynomial U(n,x).
</li>
<li>
<a href = "cheby_v_poly_values.m">cheby_v_poly_values.m</a>
returns values of the Chebyshev polynomial V(n,x).
</li>
<li>
<a href = "cheby_w_poly_values.m">cheby_w_poly_values.m</a>
returns values of the Chebyshev polynomial W(n,x).
</li>
<li>
<a href = "chi_values.m">chi_values.m</a>
returns some values of the hyperbolic cosine integral function.
</li>
<li>
<a href = "chi_square_cdf_values.m">chi_square_cdf_values.m</a>
returns some values of the Chi-Square CDF.
</li>
<li>
<a href = "chi_square_noncentral_cdf_values.m">
chi_square_noncentral_cdf_values.m</a>
returns some values of the noncentral Chi-Square CDF.
</li>
<li>
<a href = "ci_values.m">ci_values.m</a>
returns some values of the cosine integral function.
</li>
<li>
<a href = "cin_values.m">cin_values.m</a>
returns some values of the alternate cosine integral function.
</li>
<li>
<a href = "cinh_values.m">cinh_values.m</a>
returns some values of the alternate hyperbolic cosine integral function.
</li>
<li>
<a href = "clausen_values.m">clausen_values.m</a>
returns some values of Clausen's integral function.
</li>
<li>
<a href = "clebsch_gordan_values.m">clebsch_gordan_values.m</a>
returns some values of the Clebsch-Gordan coefficients.
</li>
<li>
<a href = "collatz_count_values.m">collatz_count_values.m</a>
returns some values of the length of the Collatz sequence.
</li>
<li>
<a href = "cos_values.m">cos_values.m</a>
returns some values of the cosine function.
</li>
<li>
<a href = "cos_degree_values.m">cos_degree_values.m</a>
returns some values of the cosine function for arguments in degrees.
</li>
<li>
<a href = "cos_power_int_values.m">cos_power_int_values.m</a>
returns some values of the integral of the N-th power of the
cosine function;
</li>
<li>
<a href = "cosh_values.m">cosh_values.m</a>
returns some values of the hyperbolic cosine function.
</li>
<li>
<a href = "cot_values.m">cot_values.m</a>
returns some values of the cotangent function.
</li>
<li>
<a href = "cp_values.m">cp_values.m</a>
returns some values of the specific heat at constant pressure.
</li>
<li>
<a href = "dawson_values.m">dawson_values.m</a>
returns some values of Dawson's integral.
</li>
<li>
<a href = "debye1_values.m">debye1_values.m</a>
returns some values of the Debye1 function of order 1.
</li>
<li>
<a href = "debye2_values.m">debye2_values.m</a>
returns some values of the Debye1 function of order 2.
</li>
<li>
<a href = "debye3_values.m">debye3_values.m</a>
returns some values of the Debye1 function of order 3.
</li>
<li>
<a href = "debye4_values.m">debye4_values.m</a>
returns some values of the Debye1 function of order 4.
</li>
<li>
<a href = "dedekind_sum_values.m">dedekind_sum_values.m</a>
returns some values of the Dedekind sum.
</li>
<li>
<a href = "dielectric_values.m">dielectric_values.m</a>
returns some values of the static dielectric constant.
</li>
<li>
<a href = "dilogarithm_values.m">dilogarithm_values.m</a>
returns some values of the dilogarithm function.
</li>
<li>
<a href = "e1_values.m">e1_values.m</a>
returns some values of the exponential integral function E1(X).
</li>
<li>
<a href = "ei_values.m">ei_values.m</a>
returns some values of the exponential integral function EI(X).
</li>
<li>
<a href = "elliptic_ea_values.m">elliptic_ea_values.m</a>
returns values of the complete elliptic integral E(ALPHA).
</li>
<li>
<a href = "elliptic_em_values.m">elliptic_em_values.m</a>
returns values of the complete elliptic integral E(M).
</li>
<li>
<a href = "elliptic_ka_values.m">elliptic_ka_values.m</a>
returns values of the complete elliptic integral K(ALPHA).
</li>
<li>
<a href = "elliptic_km_values.m">elliptic_km_values.m</a>
returns values of the complete elliptic integral K(M).
</li>
<li>
<a href = "erf_values.m">erf_values.m</a>
returns some values of the ERF or "error" function.
</li>
<li>
<a href = "erfc_values.m">erfc_values.m</a>
returns some values of the ERFC or "complementary error" function.
</li>
<li>
<a href = "euler_number_values.m">euler_number_values.m</a>
returns some values of the Euler numbers.
</li>
<li>
<a href = "euler_poly_values.m">euler_poly_values.m</a>
returns some values of the Euler polynomials.
</li>
<li>
<a href = "exp_values.m">exp_values.m</a>
returns some values of the exponential function.
</li>
<li>
<a href = "exp3_int_values.m">exp3_int_values.m</a>
returns some values of the EXP3 integral function.
</li>
<li>
<a href = "exponential_cdf_values.m">exponential_cdf_values.m</a>
returns some values of the exponential CDF.
</li>
<li>
<a href = "extreme_values_cdf_values.m">extreme_values_cdf_values.m</a>
returns some values of the extreme_values CDF.
</li>
<li>
<a href = "f_cdf_values.m">f_cdf_values.m</a>
returns some values of the F CDF.
</li>
<li>
<a href = "f_noncentral_cdf_values.m">f_noncentral_cdf_values.m</a>
returns some values of the noncentral F CDF.
</li>
<li>
<a href = "fresnel_cos_values.m">fresnel_cos_values.m</a>
returns some values of the Fresnel cosine integral function.
</li>
<li>
<a href = "fresnel_sin_values.m">fresnel_sin_values.m</a>
returns some values of the Fresnel sine integral function.
</li>
<li>
<a href = "frobenius_number_order2_values.m">frobenius_number_order2_values.m</a>
returns some values of the Frobenius number of order2.
</li>
<li>
<a href = "frobenius_number_order_values.m">frobenius_number_order_values.m</a>
returns some order values for the general Frobenius number problem.
</li>
<li>
<a href = "frobenius_number_data_values.m">frobenius_number_data_values.m</a>
returns some data values for the general Frobenius number problem.
</li>
<li>
<a href = "gamma_cdf_values.m">gamma_cdf_values.m</a>,
returns selected values of the Gamma CDF.
</li>
<li>
<a href = "gamma_inc_p_values.m">gamma_inc_p_values.m</a>,
returns selected values of the incomplete Gamma P function.
</li>
<li>
<a href = "gamma_inc_q_values.m">gamma_inc_q_values.m</a>,
returns selected values of the incomplete Gamma Q function.
</li>
<li>
<a href = "gamma_inc_tricomi_values.m">gamma_inc_tricomi_values.m</a>,
returns selected values of Tricomi's incomplete Gamma function.
</li>
<li>
<a href = "gamma_inc_values.m">gamma_inc_values.m</a>,
returns selected values of the incomplete Gamma function.
</li>
<li>
<a href = "gamma_log_values.m">gamma_log_values.m</a>
returns some values of the logarithm of the Gamma function.
</li>
<li>
<a href = "gamma_values.m">gamma_values.m</a>,
returns selected values of the Gamma function.
</li>
<li>
<a href = "gegenbauer_poly_values.m">gegenbauer_poly_values.m</a>
returns some values of the Gegenbauer polynomials.
</li>
<li>
<a href = "geometric_cdf_values.m">geometric_cdf_values.m</a>
returns some values of the geometric CDF.
</li>
<li>
<a href = "goodwin_values.m">goodwin_values.m</a>
returns some values of the Goodwin function.
</li>
<li>
<a href = "gud_values.m">gud_values.m</a>
returns some values of the Gudermannian function.
</li>
<li>
<a href = "hermite_function_values.m">hermite_function_values.m</a>
returns some values of the Hermite function Hf(n,x).
</li>
<li>
<a href = "hermite_poly_phys_values.m">hermite_poly_phys_values.m</a>
returns some values of the physicist's Hermite polynomial H(n,x).
</li>
<li>
<a href = "hermite_poly_prob_values.m">hermite_poly_prob_values.m</a>
returns some values of the probabilist's Hermite polynomial He(n,x).
</li>
<li>
<a href = "hyper_1f1_values.m">hyper_1f1_values.m</a>
returns some values of the hypergeometric 1F1 function.
</li>
<li>
<a href = "hyper_2f1_values.m">hyper_2f1_values.m</a>
returns some values of the hypergeometric 2F1 function.
</li>
<li>
<a href = "hypergeometric_cdf_values.m">hypergeometric_cdf_values.m</a>
returns some values of the hypergeometric CDF.
</li>
<li>
<a href = "hypergeometric_pdf_values.m">hypergeometric_pdf_values.m</a>
returns some values of the hypergeometric PDF.
</li>
<li>
<a href = "hypergeometric_u_values.m">hypergeometric_u_values.m</a>
returns some values of the hypergeometric function U(a,b,x).
</li>
<li>
<a href = "i0ml0_values.m">i0ml0_values.m</a>
returns some values of the I0ML0 function.
</li>
<li>
<a href = "i1ml1_values.m">i1ml1_values.m</a>
returns some values of the I1ML1 function.
</li>
<li>
<a href = "i4_factorial_values.m">i4_factorial_values.m</a>
returns values of the factorial function.
</li>
<li>
<a href = "i4_factorial2_values.m">i4_factorial2_values.m</a>
returns values of the double factorial function.
</li>
<li>
<a href = "i4_fall_values.m">i4_fall_values.m</a>
returns values of the integer falling factorial function.
</li>
<li>
<a href = "i4_rise_values.m">i4_rise_values.m</a>
returns values of the integer rising factorial function.
</li>
<li>
<a href = "int_values.m">int_values.m</a>
returns some values of the "int" function.
</li>
<li>
<a href = "jacobi_cn_values.m">jacobi_cn_values.m</a>
returns some values of the Jacobi elliptic function CN(A,X).
</li>
<li>
<a href = "jacobi_dn_values.m">jacobi_dn_values.m</a>
returns some values of the Jacobi elliptic function dN(A,X).
</li>
<li>
<a href = "jacobi_poly_values.m">jacobi_poly_values.m</a>
returns some values of the Jacobi polynomial.
</li>
<li>
<a href = "jacobi_sn_values.m">jacobi_sn_values.m</a>
returns some values of the Jacobi elliptic function SN(A,X).
</li>
<li>
<a href = "jed_ce_values.m">jed_ce_values.m</a>
returns some values of the Julian Ephemeris Date and the
corresponding Common Era year/month/day/fraction date.
</li>
<li>
<a href = "jed_mjd_values.m">jed_mjd_values.m</a>
returns some values of the Julian Ephemeris Date and the
corresponding Modified Julian Day count.
</li>
<li>
<a href = "jed_rd_values.m">jed_rd_values.m</a>
returns some values of the Julian Ephemeris Date and the
corresponding Reingold Dershowitz date.
</li>
<li>
<a href = "jed_weekday_values.m">jed_weekday_values.m</a>
returns some values of the Julian Ephemeris Date and the
day of the week.
</li>
<li>
<a href = "kei0_values.m">kei0_values.m</a>,
returns selected values of the Kelvin KEI function for NU = 0.
</li>
<li>
<a href = "kei1_values.m">kei1_values.m</a>,
returns selected values of the Kelvin KEI function for NU = 1.
</li>
<li>
<a href = "ker0_values.m">ker0_values.m</a>,
returns selected values of the Kelvin KER function for NU = 0.
</li>
<li>
<a href = "ker1_values.m">ker1_values.m</a>,
returns selected values of the Kelvin KER function for NU = 1.
</li>
<li>
<a href = "laguerre_associated_values.m">
laguerre_associated_values.m</a>
returns values of associated Laguerre functions.
</li>
<li>
<a href = "laguerre_general_values.m">
laguerre_general_values.m</a>
returns values of generalized Laguerre functions.
</li>
<li>
<a href = "laguerre_polynomial_values.m">laguerre_polynomial_values.m</a>
returns some values of the Laguerre polynomial.
</li>
<li>
<a href = "lambert_w_values.m">
lambert_w_values.m</a>
returns values of the Lambert W function.
</li>
<li>
<a href = "laplace_cdf_values.m">
laplace_cdf_values.m</a>
returns values of the Laplace CDF.
</li>
<li>
<a href = "legendre_associated_values.m">
legendre_associated_values.m</a>
returns values of associated Legendre functions.
</li>
<li>
<a href = "legendre_associated_normalized_values.m">
legendre_associated_normalized_values.m</a>
returns values of the normalized associated Legendre functions.
</li>
<li>
<a href = "legendre_associated_normalized_sphere_values.m">
legendre_associated_normalized_sphere_values.m</a>
returns values of the normalized associated Legendre functions,
normalized for the surface of the unit sphere.
</li>
<li>
<a href = "legendre_function_q_values.m">
legendre_function_q_values.m</a>
returns values of the Legendre Q function.
</li>
<li>
<a href = "legendre_poly_values.m">legendre_poly_values.m</a>
returns values of the Legendre polynomials.
</li>
<li>
<a href = "lerch_values.m">lerch_values.m</a>
returns values of the Lerch transcendent function.
</li>
<li>
<a href = "linear_system_values.m">linear_system_values.m</a>
returns some linear systems.
</li>
<li>
<a href = "lobachevsky_values.m">
lobachevsky_values.m</a>
returns values of the Lobachevsky function.
</li>
<li>
<a href = "lobatto_polynomial_values.m">lobatto_polynomial_values.m</a>
returns values of the Lobatto polynomials.
</li>
<li>
<a href = "log_values.m">log_values.m</a>
returns some values of the natural logarithm function.
</li>
<li>
<a href = "log_normal_cdf_values.m">
log_normal_cdf_values.m</a>
returns values of the LogNormal CDF.
</li>
<li>
<a href = "log_series_cdf_values.m">
log_series_cdf_values.m</a>
returns values of the LogSeries CDF.
</li>
<li>
<a href = "log10_values.m">log10_values.m</a>
returns some values of the logarithm base 10 function.
</li>
<li>
<a href = "logarithmic_integral_values.m">
logarithmic_integral_values.m</a>
returns values of the logarithmic integral.
</li>
<li>
<a href = "logistic_cdf_values.m">
logistic_cdf_values.m</a>
returns values of the logistic CDF.
</li>
<li>
<a href = "mertens_values.m">mertens_values.m</a>
returns some values of the Mertens function.
</li>
<li>
<a href = "moebius_values.m">moebius_values.m</a>