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7 Special Functions
*******************

This chapter describes the GSL special function library.  The library
includes routines for calculating the values of Airy functions, Bessel
functions, Clausen functions, Coulomb wave functions, Coupling
coefficients, the Dawson function, Debye functions, Dilogarithms,
Elliptic integrals, Jacobi elliptic functions, Error functions,
Exponential integrals, Fermi-Dirac functions, Gamma functions,
Gegenbauer functions, Hermite polynomials and functions, Hypergeometric
functions, Laguerre functions, Legendre functions and Spherical
Harmonics, the Psi (Digamma) Function, Synchrotron functions, Transport
functions, Trigonometric functions and Zeta functions.  Each routine
also computes an estimate of the numerical error in the calculated value
of the function.

The functions in this chapter are declared in individual header files,
such as ‘gsl_sf_airy.h’, ‘gsl_sf_bessel.h’, etc.  The complete set of
header files can be included using the file ‘gsl_sf.h’.

* Usage
* The gsl_sf_result struct
* Modes
* Airy Functions and Derivatives
* Bessel Functions
* Clausen Functions
* Coulomb Functions
* Coupling Coefficients
* Dawson Function
* Debye Functions
* Dilogarithm
* Elementary Operations
* Elliptic Integrals
* Elliptic Functions (Jacobi)
Elliptic Functions Jacobi.
* Error Functions
* Exponential Functions
* Exponential Integrals
* Fermi-Dirac Function
* Gamma and Beta Functions
* Gegenbauer Functions
* Hermite Polynomials and Functions
* Hypergeometric Functions
* Laguerre Functions
* Lambert W Functions
* Legendre Functions and Spherical Harmonics
* Logarithm and Related Functions
* Mathieu Functions
* Power Function
* Psi (Digamma) Function
Psi Digamma Function.
* Synchrotron Functions
* Transport Functions
* Trigonometric Functions
* Zeta Functions
* Examples
Examples<3>.
* References and Further Reading
References and Further Reading<3>.

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