TRIG(3) User Contributed Perl Documentation TRIG(3)NAME
PDL::GSLSF::TRIG - PDL interface to GSL Special Functions
DESCRIPTION
This is an interface to the Special Function package present in the GNU Scientific Library.
SYNOPSIS FunctionsFUNCTIONS
gsl_sf_sin
Signature: (double x(); double [o]y(); double [o]e())
Sin(x) with GSL semantics.
gsl_sf_cos
Signature: (double x(); double [o]y(); double [o]e())
Cos(x) with GSL semantics.
gsl_sf_hypot
Signature: (double x(); double xx(); double [o]y(); double [o]e())
Hypot(x,xx) with GSL semantics.
gsl_sf_complex_sin
Signature: (double zr(); double zi(); double [o]x(); double [o]y(); double [o]xe(); double [o]ye())
Sin(z) for complex z
gsl_sf_complex_cos
Signature: (double zr(); double zi(); double [o]x(); double [o]y(); double [o]xe(); double [o]ye())
Cos(z) for complex z
gsl_sf_complex_logsin
Signature: (double zr(); double zi(); double [o]x(); double [o]y(); double [o]xe(); double [o]ye())
Log(Sin(z)) for complex z
gsl_sf_lnsinh
Signature: (double x(); double [o]y(); double [o]e())
Log(Sinh(x)) with GSL semantics.
gsl_sf_lncosh
Signature: (double x(); double [o]y(); double [o]e())
Log(Cos(x)) with GSL semantics.
gsl_sf_polar_to_rect
Signature: (double r(); double t(); double [o]x(); double [o]y(); double [o]xe(); double [o]ye())
Convert polar to rectlinear coordinates.
gsl_sf_rect_to_polar
Signature: (double x(); double y(); double [o]r(); double [o]t(); double [o]re(); double [o]te())
Convert rectlinear to polar coordinates. return argument in range [-pi, pi].
gsl_sf_angle_restrict_symm
Signature: (double [o]y())
Force an angle to lie in the range (-pi,pi].
gsl_sf_angle_restrict_pos
Signature: (double [o]y())
Force an angle to lie in the range [0,2 pi).
gsl_sf_sin_err
Signature: (double x(); double dx(); double [o]y(); double [o]e())
Sin(x) for quantity with an associated error.
gsl_sf_cos_err
Signature: (double x(); double dx(); double [o]y(); double [o]e())
Cos(x) for quantity with an associated error.
AUTHOR
This file copyright (C) 1999 Christian Pellegrin <chri@infis.univ.trieste.it> All rights reserved. There is no warranty. You are allowed to
redistribute this software / documentation under certain conditions. For details, see the file COPYING in the PDL distribution. If this
file is separated from the PDL distribution, the copyright notice should be included in the file.
The GSL SF modules were written by G. Jungman.
perl v5.8.0 2003-01-29 TRIG(3)
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GAMMA(3) User Contributed Perl Documentation GAMMA(3)NAME
PDL::GSLSF::GAMMA - PDL interface to GSL Special Functions
DESCRIPTION
This is an interface to the Special Function package present in the GNU Scientific Library.
SYNOPSIS FunctionsFUNCTIONS
gsl_sf_lngamma
Signature: (double x(); double [o]y(); double [o]s(); double [o]e())
Log[Gamma(x)], x not a negative integer Uses real Lanczos method. Determines the sign of Gamma[x] as well as Log[|Gamma[x]|] for x < 0. So
Gamma[x] = sgn * Exp[result_lg].
gsl_sf_gamma
Signature: (double x(); double [o]y(); double [o]e())
Gamma(x), x not a negative integer
gsl_sf_gammastar
Signature: (double x(); double [o]y(); double [o]e())
Regulated Gamma Function, x > 0 Gamma^*(x) = Gamma(x)/(Sqrt[2Pi] x^(x-1/2) exp(-x)) = (1 + 1/(12x) + ...), x->Inf
gsl_sf_gammainv
Signature: (double x(); double [o]y(); double [o]e())
1/Gamma(x)
gsl_sf_lngamma_complex
Signature: (double zr(); double zi(); double [o]x(); double [o]y(); double [o]xe(); double [o]ye())
Log[Gamma(z)] for z complex, z not a negative integer. Calculates: lnr = log|Gamma(z)|, arg = arg(Gamma(z)) in (-Pi, Pi]
gsl_sf_taylorcoeff
Signature: (double x(); double [o]y(); double [o]e(); int n)
x^n / n!
gsl_sf_fact
Signature: (x(); double [o]y(); double [o]e())
n!
gsl_sf_doublefact
Signature: (x(); double [o]y(); double [o]e())
n!! = n(n-2)(n-4)
gsl_sf_lnfact
Signature: (x(); double [o]y(); double [o]e())
ln n!
gsl_sf_lndoublefact
Signature: (x(); double [o]y(); double [o]e())
ln n!!
gsl_sf_lnchoose
Signature: (n(); m(); double [o]y(); double [o]e())
log(n choose m)
gsl_sf_choose
Signature: (n(); m(); double [o]y(); double [o]e())
n choose m
gsl_sf_lnpoch
Signature: (double x(); double [o]y(); double [o]s(); double [o]e(); double a)
Logarithm of Pochammer (Apell) symbol, with sign information. result = log( |(a)_x| ), sgn = sgn( (a)_x ) where (a)_x := Gamma[a +
x]/Gamma[a]
gsl_sf_poch
Signature: (double x(); double [o]y(); double [o]e(); double a)
Pochammer (Apell) symbol (a)_x := Gamma[a + x]/Gamma[x]
gsl_sf_pochrel
Signature: (double x(); double [o]y(); double [o]e(); double a)
Relative Pochammer (Apell) symbol ((a,x) - 1)/x where (a,x) = (a)_x := Gamma[a + x]/Gamma[a]
gsl_sf_gamma_inc_Q
Signature: (double x(); double [o]y(); double [o]e(); double a)
Normalized Incomplete Gamma Function Q(a,x) = 1/Gamma(a) Integral[ t^(a-1) e^(-t), {t,x,Infinity} ]
gsl_sf_gamma_inc_P
Signature: (double x(); double [o]y(); double [o]e(); double a)
Complementary Normalized Incomplete Gamma Function P(a,x) = 1/Gamma(a) Integral[ t^(a-1) e^(-t), {t,0,x} ]
gsl_sf_lnbeta
Signature: (double a(); double b(); double [o]y(); double [o]e())
Logarithm of Beta Function Log[B(a,b)]
gsl_sf_beta
Signature: (double a(); double b();double [o]y(); double [o]e())
Beta Function B(a,b)
AUTHOR
This file copyright (C) 1999 Christian Pellegrin <chri@infis.univ.trieste.it> All rights reserved. There is no warranty. You are allowed to
redistribute this software / documentation under certain conditions. For details, see the file COPYING in the PDL distribution. If this
file is separated from the PDL distribution, the copyright notice should be included in the file.
The GSL SF modules were written by G. Jungman.
perl v5.8.0 2003-01-29 GAMMA(3)