| Airy | Airy functions, derivatives and zeroes |
| Bessel | Bessel functions (regular and irregular), of integer, half integer and non-integer order |
| Chebyshev | Chebyshev expansion of arbitrary continuous functions |
| ClausenIntegral | Evaluate Clausen's Integral |
| Coulomb | Evaluate bound state and continuum Coulomb wave functions |
| DawsonIntegral | Evaluate Dawson's integral |
| DebyeIntegral | Evaluate Debye's integral |
| DiLogarithm | Evaluate the di-logarithm function for real and complex arguments |
| EllipticIntegrals | Evaluate complete and incomplete elliptic integrals |
| ErrorFunction | Evaluate erf and erfc for real argument |
| ExpIntegrals | Evaluate various exponential and related integrals |
| Exponential | Evaluate the standard exponential functions with gsl semantics |
| FermiDirac | Evaluate the complete and incomplete Fermi Dirac function for integer and half-integer order |
| Gamma | Evaluate the Gamma function and several related functions |
| Gegenbauer | Evaluate the Gegenbauer polynomials for integer order |
| gsl_cheb_series_struct | |
| Hyperbolic | Evaluate the hyperbolic and inverse hyperbolic functions |
| HyperGeometric | Evaluate several hypergeometric functions |
| IntegerPowers | Evaluate integer powers of a real argument |
| JacobiElliptics | Evaluate Jacobi's elliptic functions |
| Laguerre | Evaluate the Laguerre functions of integer order |
| Lambert | Evaluate the principal and secondary branches of the Lambert function |
| Legendre | Evaluate Legendre functions of integer, half integer and non-integer order |
| Logarithm | Evaluate several logarithmic functions |
| PolyGamma | Evaluate the di-gamma, tri-gamma and n-gamma functions |
| SFInitialize | Initialize the gsl error handler to it's off state |
| Synchrotron | Evaluate the first and second synchrotron functions |
| Transport | Evaluate the transport integral of order 2 through 5 |
| Trigonometry | Evaluate various trigonometric functions with gsl semantics |
| UF< UserFcnT > | Template class for user functions for Chebyshev expansion |
| Wigner | Compute 3-j, 6-j, 9-j symbols and Clebsch-Gordan coefficients |
| Zeta | Compute the Riemann and Hurwicz zeta function and some related functions |
