| Name | Description |
|---|
| gamma | Gamma function |
| poch_ax | Pochhammer symbol (a)_x |
| beta_Bab | Beta function, B(a,b) |
| digamma | Digamma function, psi(x) |
| polygamma | Polygamma function, psi_n(x) |
| incgamma | Incomplete Gamma function, G(a,x) |
| erf | Error function |
| erfc | Complementary Error function |
| bessel_J0 | Bessel function of the 1st kind (regular cylindrical) of order 0 |
| bessel_Jn | Bessel function of the 1st kind (regular cylindrical) of order n |
| bessel_Yn | Bessel function of the 2nd kind (irregular cylindrical) of order n |
| bessel_In | Modified bessel function of the 1st kind (regular modified cylindrical) of order n |
| bessel_Kn | Modified bessel function of the 2nd kind (irregular modified cylindrical) of order n |
| bessel_Jnu | Bessel function of the 1st kind of order nu |
| bessel_Knu | Irregular modified Bessel function of order nu |
| bessel_zeroJnu | Zeros of Bessel function of the 1st kind of order nu |
| sph_bessel_jl | Spherical Bessel function of the 1st kind (regular) of order l |
| sph_bessel_yl | Spherical Bessel function of the 1st kind (irregular) of order l |
| legendre_Pl | Legendre polynomial of order l |
| sph_harm_Ylm | Normalized Spherical Harmonic of order l,m |
| hydrogen_Rnl | Normalized Hydrogen wavefunction of order n,l |
| fermidirac_Fhalf | Complete Fermi-Dirac integral of order 1/2 |
| fermidirac_F3half | Complete Fermi-Dirac integral of order 3/2 |
| fermidirac_Fn | Complete Fermi-Dirac integral of order n |
| hermite_Hn | Hermite polynomial of order n |
| hermite_func_psi_n | Hermite function of order n |
| airy_Ai | Airy Ai function |
| airy_Bi | Airy Bi function |
| airy_zeroAi | Zeros of Airy function of the 1st kind |
| airy_zeroBi | Zeros of Airy function of the 2nd kind |
| debye_D1 | Debye function of order 1 |
| debye_D3 | Debye function of order 3 |
| dilog_Li2 | Dilogarithm, Li_2(x) |
| elliptint_K | Complete Elliptic Integral K(k) |
| elliptint_E | Complete Elliptic Integral E(k) |
| expint_En | Exponential Integral E_n(x) |
| expint_Ei | Exponential Integral Ei(x) |
| gegenpoly_Cn | Genenbauer polynomial, C_n^(a)(x) |
| laguerre_Ln | Laguerre functions, L_n^a(x) |
| lambert_W0 | Lambert W_0 function |
| lambert_Wm1 | Lambert W_-1 function |
| zeta | Riemann zeta function function, zeta(s) |