# wrapper for the Gnu Scientific Library

## Documentation for package ‘gsl’ version 1.9-10.1

- DESCRIPTION file.
- User guides, package vignettes and other documentation.

## Help Pages

A B C D E F G H L M P Q R S T Z

gsl-package | Wrappers for the Gnu Scientific Library

## -- A --

Airy | Airy functions
airy | Airy functions
airy_Ai | Airy functions
airy_Ai_deriv | Airy functions
airy_Ai_deriv_e | Airy functions
airy_Ai_deriv_scaled | Airy functions
airy_Ai_deriv_scaled_e | Airy functions
airy_Ai_scaled | Airy functions
airy_Ai_scaled_e | Airy functions
airy_Bi | Airy functions
airy_Bi_deriv | Airy functions
airy_Bi_deriv_e | Airy functions
airy_Bi_deriv_scaled | Airy functions
airy_Bi_deriv_scaled_e | Airy functions
airy_Bi_e | Airy functions
airy_Bi_scaled | Airy functions
airy_Bi_scaled_e | Airy functions
airy_zero_Ai | Airy functions
airy_zero_Ai_deriv | Airy functions
airy_zero_Ai_deriv_e | Airy functions
airy_zero_Ai_e | Airy functions
airy_zero_Bi | Airy functions
airy_zero_Bi_deriv | Airy functions
airy_zero_Bi_deriv_e | Airy functions
airy_zero_Bi_e | Airy functions
atanint | exponential functions

## -- B --

Bessel | Bessel functions
bessel | Bessel functions
bessel_I0 | Bessel functions
bessel_I0_scaled | Bessel functions
bessel_i0_scaled | Bessel functions
bessel_I1 | Bessel functions
bessel_I1_scaled | Bessel functions
bessel_i1_scaled | Bessel functions
bessel_i2_scaled | Bessel functions
bessel_il_scaled | Bessel functions
bessel_il_scaled_array | Bessel functions
bessel_In | Bessel functions
bessel_Inu | Bessel functions
bessel_Inu_scaled | Bessel functions
bessel_In_array | Bessel functions
bessel_In_scaled | Bessel functions
bessel_In_scaled_array | Bessel functions
bessel_J0 | Bessel functions
bessel_j0 | Bessel functions
bessel_J1 | Bessel functions
bessel_j1 | Bessel functions
bessel_j2 | Bessel functions
bessel_jl | Bessel functions
bessel_jl_array | Bessel functions
bessel_jl_steed_array | Bessel functions
bessel_Jn | Bessel functions
bessel_Jnu | Bessel functions
bessel_Jn_array | Bessel functions
bessel_K0 | Bessel functions
bessel_K0_scaled | Bessel functions
bessel_k0_scaled | Bessel functions
bessel_K1 | Bessel functions
bessel_K1_scaled | Bessel functions
bessel_k1_scaled | Bessel functions
bessel_k2_scaled | Bessel functions
bessel_kl_scaled | Bessel functions
bessel_kl_scaled_array | Bessel functions
bessel_Kn | Bessel functions
bessel_Knu | Bessel functions
bessel_Knu_scaled | Bessel functions
bessel_Kn_array | Bessel functions
bessel_Kn_scaled | Bessel functions
bessel_Kn_scaled_array | Bessel functions
bessel_lnKnu | Bessel functions
bessel_sequence_Jnu | Bessel functions
bessel_Y0 | Bessel functions
bessel_y0 | Bessel functions
bessel_Y1 | Bessel functions
bessel_y1 | Bessel functions
bessel_y2 | Bessel functions
bessel_yl | Bessel functions
bessel_yl_array | Bessel functions
bessel_Yn | Bessel functions
bessel_Ynu | Bessel functions
bessel_Yn_array | Bessel functions
bessel_zero_J0 | Bessel functions
bessel_zero_J1 | Bessel functions
bessel_zero_Jnu | Bessel functions
beta_inc | gamma functions

## -- C --

Chi | exponential functions
Ci | exponential functions
Clausen | Clausen functions
clausen | Clausen functions
complex_cos | Trig functions
complex_dilog | Dilog functions
complex_log | Log functions
complex_logsin | Trig functions
complex_sin | Trig functions
Conical | Legendre functions
conical | Legendre functions
conicalP_0 | Legendre functions
conicalP_1 | Legendre functions
conicalP_cyl_reg | Legendre functions
conicalP_half | Legendre functions
conicalP_mhalf | Legendre functions
conicalP_sph_reg | Legendre functions
Coulomb | Coulomb functions
coulomb | Coulomb functions
coulomb_CL | Coulomb functions
coulomb_CL_array | Coulomb functions
coulomb_wave_FG | Coulomb functions
coulomb_wave_FGp_array | Coulomb functions
coulomb_wave_FG_array | Coulomb functions
coulomb_wave_F_array | Coulomb functions
coulomb_wave_sphF_array | Coulomb functions
Coupling | Coupling functions
coupling | Coupling functions
coupling_3j | Coupling functions
coupling_6j | Coupling functions
coupling_9j | Coupling functions

## -- D --

Dawson | Dawson functions
dawson | Dawson functions
Debye | Debye functions
debye | Debye functions
debye_1 | Debye functions
debye_2 | Debye functions
debye_3 | Debye functions
debye_4 | Debye functions
Dilog | Dilog functions
dilog | Dilog functions
doublefact | gamma functions

## -- E --

Ellint | Elliptic functions
ellint | Elliptic functions
ellint_D | Elliptic functions
ellint_E | Elliptic functions
ellint_Ecomp | Elliptic functions
ellint_F | Elliptic functions
ellint_Kcomp | Elliptic functions
ellint_P | Elliptic functions
ellint_RC | Elliptic functions
ellint_RD | Elliptic functions
ellint_RF | Elliptic functions
ellint_RJ | Elliptic functions
Elljac | Elliptic functions
elljac | Elliptic functions
erf | Error functions
erfc | Error functions
erf_Q | Error functions
Error | Error functions
error | Error functions
Error function | Error functions
eta | Zeta functions
eta_int | Zeta functions
Expint | exponential functions
expint | exponential functions
expint_3 | exponential functions
expint_E1 | exponential functions
expint_E2 | exponential functions
expint_Ei | exponential functions
expint_En | exponential functions

## -- F --

fact | gamma functions
Fermi | Fermi-Dirac functions
fermi | Fermi-Dirac functions
Fermi_Dirac | Fermi-Dirac functions
fermi_dirac | Fermi-Dirac functions
fermi_dirac_0 | Fermi-Dirac functions
fermi_dirac_1 | Fermi-Dirac functions
fermi_dirac_2 | Fermi-Dirac functions
fermi_dirac_3half | Fermi-Dirac functions
fermi_dirac_half | Fermi-Dirac functions
fermi_dirac_inc_0 | Fermi-Dirac functions
fermi_dirac_int | Fermi-Dirac functions
fermi_dirac_m1 | Fermi-Dirac functions
fermi_dirac_mhalf | Fermi-Dirac functions

## -- G --

Gamma | gamma functions
gamma | gamma functions
gammainv | gamma functions
gammastar | gamma functions
gamma_inc | gamma functions
gamma_inc_P | gamma functions
gamma_inc_Q | gamma functions
Gegenbauer | Gegenbauer functions
gegenbauer | Gegenbauer functions
gegenpoly_1 | Gegenbauer functions
gegenpoly_2 | Gegenbauer functions
gegenpoly_3 | Gegenbauer functions
gegenpoly_array | Gegenbauer functions
gegenpoly_n | Gegenbauer functions
GSL | Wrappers for the Gnu Scientific Library
gsl | Wrappers for the Gnu Scientific Library
gsl_cd | Elliptic functions
gsl_cn | Elliptic functions
gsl_cs | Elliptic functions
gsl_dc | Elliptic functions
gsl_dn | Elliptic functions
gsl_ds | Elliptic functions
gsl_nc | Elliptic functions
gsl_nd | Elliptic functions
gsl_ns | Elliptic functions
gsl_poly | Polynomials
gsl_sc | Elliptic functions
gsl_sd | Elliptic functions
gsl_sf_beta | gamma functions
gsl_sf_choose | gamma functions
gsl_sf_cos | Trig functions
gsl_sf_gamma | gamma functions
gsl_sf_log | Log functions
gsl_sf_sin | Trig functions
gsl_sn | Elliptic functions

## -- H --

hazard | Error functions
hydrogenicR | Coulomb functions
hydrogenicR_1 | Coulomb functions
Hyperg | Hypergeometric functions
hyperg | Hypergeometric functions
hyperg_0F1 | Hypergeometric functions
hyperg_1F1 | Hypergeometric functions
hyperg_1F1_int | Hypergeometric functions
hyperg_2F0 | Hypergeometric functions
hyperg_2F1 | Hypergeometric functions
hyperg_2F1_conj | Hypergeometric functions
hyperg_2F1_conj_renorm | Hypergeometric functions
hyperg_2F1_renorm | Hypergeometric functions
hyperg_U | Hypergeometric functions
hyperg_U_int | Hypergeometric functions
hypot | Trig functions
hzeta | Zeta functions

## -- L --

Laguerre | Laguerre functions
laguerre | Laguerre functions
laguerre_1 | Laguerre functions
laguerre_2 | Laguerre functions
laguerre_3 | Laguerre functions
laguerre_n | Laguerre functions
Lambert | Lambert's W function
lambert | Lambert's W function
Lambert_W0 | Lambert's W function
lambert_W0 | Lambert's W function
Lambert_Wm1 | Lambert's W function
lambert_Wm1 | Lambert's W function
Legendre | Legendre functions
legendre | Legendre functions
legendre_H3d | Legendre functions
legendre_H3d_0 | Legendre functions
legendre_H3d_1 | Legendre functions
legendre_H3d_array | Legendre functions
legendre_P1 | Legendre functions
legendre_P2 | Legendre functions
legendre_P3 | Legendre functions
legendre_Pl | Legendre functions
legendre_Plm | Legendre functions
legendre_Plm_array | Legendre functions
legendre_Pl_array | Legendre functions
legendre_Q0 | Legendre functions
legendre_Q1 | Legendre functions
legendre_Ql | Legendre functions
legendre_sphPlm | Legendre functions
legendre_sphPlm_array | Legendre functions
lnbeta | gamma functions
lnchoose | gamma functions
lncosh | Trig functions
lndoublefact | gamma functions
lnfact | gamma functions
lngamma | gamma functions
lngamma_complex | gamma functions
lngamma_sgn | gamma functions
lnpoch | gamma functions
lnpoch_sgn | gamma functions
lnsinh | Trig functions
Log | Log functions
log | Log functions
log_1plusx | Log functions
log_1plusx_mx | Log functions
log_abs | Log functions
log_erfc | Error functions
log_erf_Z | Error functions

## -- M --

Misc | Argument processing and general info
misc | Argument processing and general info
Multimin | Function minimization
multimin | Function minimization
multimin.fminimizer.size | Function minimization
multimin.init | Function minimization
multimin.iterate | Function minimization
multimin.restart | Function minimization

## -- P --

poch | gamma functions
pochrel | gamma functions
Poly | Polynomials
poly | Polynomials
polylog | Dilog functions
powint | Power functions
Pow_int | Power functions
pow_int | Power functions
process.args | Argument processing and general info
Psi | Psi (digamma) functions
psi | Psi (digamma) functions
psi_1 | Psi (digamma) functions
psi_1piy | Psi (digamma) functions
psi_1_int | Psi (digamma) functions
psi_int | Psi (digamma) functions
psi_n | Psi (digamma) functions

## -- Q --

Qrng | Quasi-random sequences
qrng | Quasi-random sequences
qrng_alloc | Quasi-random sequences
qrng_clone | Quasi-random sequences
qrng_get | Quasi-random sequences
qrng_init | Quasi-random sequences
qrng_name | Quasi-random sequences
qrng_size | Quasi-random sequences

## -- R --

Rng | Random numbers generation
rng | Random numbers generation
rng_alloc | Random numbers generation
rng_clone | Random numbers generation
rng_get | Random numbers generation
rng_max | Random numbers generation
rng_min | Random numbers generation
rng_name | Random numbers generation
rng_set | Random numbers generation
rng_uniform | Random numbers generation
rng_uniform_int | Random numbers generation
rng_uniform_pos | Random numbers generation

## -- S --

Shi | exponential functions
Si | exponential functions
sinc | Trig functions
sn_cn_dn | Elliptic functions
strictify | Argument processing and general info
Synchrotron | Synchrotron functions
synchrotron | Synchrotron functions
synchrotron_1 | Synchrotron functions
synchrotron_2 | Synchrotron functions

## -- T --

taylorcoeff | gamma functions
Transport | Transport functions
transport | Transport functions
transport_2 | Transport functions
transport_3 | Transport functions
transport_4 | Transport functions
transport_5 | Transport functions
Trig | Trig functions
trig | Trig functions

## -- Z --

Zeta | Zeta functions
zeta | Zeta functions
zetam1 | Zeta functions
zetam1_int | Zeta functions
zeta_int | Zeta functions