| Chapter Introduction | |
| Module 3.1: nag_inv_hyp_fun - Inverse Hyperbolic Functions | |
| nag_arctanh | Inverse hyperbolic tangent, arctanh x |
| nag_arcsinh | Inverse hyperbolic sine, arcsinh x |
| nag_arccosh | Inverse hyperbolic cosine, arccosh x |
| Examples | |
| Module 3.2: nag_gamma_fun - Gamma Functions | |
| nag_gamma | Gamma function |
| nag_log_gamma | Log gamma function |
| nag_polygamma | Polygamma functions |
| nag_incompl_gamma | Incomplete gamma functions |
| Examples | |
| Module 3.3: nag_err_fun - Error Functions | |
| nag_erf | Error function erf x |
| nag_erfc | Complementary error function erfc x |
| nag_dawson | Dawson's integral F(x) |
| Examples | |
| Module 3.4: nag_bessel_fun - Bessel Functions | |
| nag_bessel_j0 | Bessel function J0(x) |
| nag_bessel_j1 | Bessel function J1(x) |
| nag_bessel_j | Bessel function Jν(z) |
| nag_bessel_y0 | Bessel function Y0(x) |
| nag_bessel_y1 | Bessel function Y1(x) |
| nag_bessel_y | Bessel function Yν(z) |
| nag_bessel_i0 | Modified Bessel function I0(x) |
| nag_bessel_i1 | Modified Bessel function I1(x) |
| nag_bessel_i | Modified Bessel function Iν(z) |
| nag_bessel_k0 | Modified Bessel function K0(x) |
| nag_bessel_k1 | Modified Bessel function K1(x) |
| nag_bessel_k | Modified Bessel function Kν(z) |
| Examples | |
| Module 3.5: nag_fresnel_intg - Fresnel Integrals | |
| nag_fresnel_s | Fresnel integral S(x) |
| nag_fresnel_c | Fresnel integral C(x) |
| Examples | |
| Module 3.6: nag_ell_intg - Elliptic Integrals | |
| nag_ell_rf | Symmetrised elliptic integral of the first kind |
| nag_ell_rc | Degenerate form of elliptic integral of the first kind |
| nag_ell_rd | Symmetrised elliptic integral of the second kind |
| nag_ell_rj | Symmetrised elliptic integral of the third kind |
| Examples | |
| Module 3.7: nag_ell_fun - Elliptic Functions | |
| nag_ell_jac | Jacobian elliptic functions sn, cn and dn |
| Examples | |
| Module 3.8: nag_airy_fun - Airy Functions | |
| nag_airy_ai | Airy function Ai(z) |
| nag_airy_bi | Airy function Bi(z) |
| Examples | |
| Module 3.9: nag_kelvin_fun - Kelvin Functions | |
| nag_kelvin_ber | Kelvin function ber x |
| nag_kelvin_bei | Kelvin function bei x |
| nag_kelvin_ker | Kelvin function ker x |
| nag_kelvin_kei | Kelvin function kei x |
| Examples | |