Numeric.GSL.Special

Wrappers for selected special functions.

http://www.gnu.org/software/gsl/manual/html_node/Special-Functions.html#Special-Functions

Functions

module Numeric.GSL.Special.Airy

module Numeric.GSL.Special.Bessel

module Numeric.GSL.Special.Clausen

module Numeric.GSL.Special.Coulomb

module Numeric.GSL.Special.Coupling

module Numeric.GSL.Special.Dawson

module Numeric.GSL.Special.Debye

module Numeric.GSL.Special.Dilog

module Numeric.GSL.Special.Elementary

module Numeric.GSL.Special.Ellint

module Numeric.GSL.Special.Elljac

module Numeric.GSL.Special.Erf

module Numeric.GSL.Special.Exp

module Numeric.GSL.Special.Expint

module Numeric.GSL.Special.Fermi_dirac

module Numeric.GSL.Special.Gamma

module Numeric.GSL.Special.Gegenbauer

module Numeric.GSL.Special.Hyperg

module Numeric.GSL.Special.Laguerre

module Numeric.GSL.Special.Lambert

module Numeric.GSL.Special.Legendre

module Numeric.GSL.Special.Log

module Numeric.GSL.Special.Pow_int

module Numeric.GSL.Special.Psi

module Numeric.GSL.Special.Synchrotron

module Numeric.GSL.Special.Transport

module Numeric.GSL.Special.Trig

module Numeric.GSL.Special.Zeta

Util

mkComplex_e :: (Double -> Double -> ((Double, Double), (Double, Double))) -> Complex Double -> (Complex Double, Complex Double)

Some GSL complex functions work with separate real and imaginary parts stored in real variables, obtaining tuples (value, error) for the real and imaginary parts of the result:

 > import Numeric.GSL.Special.Dilog

 > complex_dilog_xy_e 1 1
 ((0.6168502750680847,1.1097853812294034e-14),(1.4603621167531193,1.1855504863267322e-14))

We can use mkComplex_e to work with "normal" complex numbers:

 > import Numeric.GSL.Special(mkComplex_e)
 > import Data.Complex

 > let dilogC = fst . mkComplex_e complex_dilog_xy_e

 > dilogC (1 :+ 1)
 0.6168502750680847 :+ 1.4603621167531193