Parser functions
The LabPlot parser allows you to use following functions:

standard function
Function	Description
acos(x)	Arc cosine
acosh(x)	Arc hyperbolic cosine
asin(x)	Arcsine
asinh(x)	Arc hyperbolic sine
atan(x)	Arctangent
atan2(y,x)	arc tangent function of two variables
atanh(x)	Arc hyperbolic tangent
beta(a,b)	Beta
cbrt(x)	Cube root
ceil(x)	Truncate upward to integer
chbevl(x, coef, N)	Evaluate Chebyshev series
chdtrc(df,x)	Complemented Chi square
chdtr(df,x)	Chi square distribution
chdtri(df,y)	Inverse Chi square
cos(x)	Cosine
cosh(x)	Hyperbolic cosine
cosm1(x)	cos(x)-1
dawsn(x)	Dawson's integral
drand()	Random value between 0..1
ellie(phi,m)	Incomplete elliptic integral (E)
ellik(phi,m)	Incomplete elliptic integral (E)
ellpe(x)	Complete elliptic integral (E)
ellpk(x)	Complete elliptic integral (K)
exp(x)	Exponential, base e
expm1(x)	exp(x)-1
expn(n,x)	Exponential integral
fabs(x)	Absolute value
fac(i)	Factorial
fdtrc(ia,ib,x)	Complemented F
fdtr(ia,ib,x)	F distribution
fdtri(ia,ib,y)	Inverse F distribution
gdtr(a,b,x)	Gamma distribution
gdtrc(a,b,x)	Complemented gamma
hyp2f1(a,b,c,x)	Gauss hypergeometric function
hyperg(a,b,x)	Confluent hypergeometric 1F1
i0(x)	Modified Bessel, order 0
i0e(x)	Exponentially scaled i0
i1(x)	Modified Bessel, order 1
i1e(x)	Exponentially scaled i1
igamc(a,x)	Complemented gamma integral
igam(a,x)	Incomplete gamma integral
igami(a,y0)	Inverse gamma integral
incbet(aa,bb,xx)	Incomplete beta integral
incbi(aa,bb,yy0)	Inverse beta integral
iv(v,x)	Modified Bessel, nonint. order
j0(x)	Bessel, order 0
j1(x)	Bessel, order 1
jn(n,x)	Bessel, order n
jv(n,x)	Bessel, noninteger order
k0(x)	Mod. Bessel, 3rd kind, order 0
k0e(x)	Exponentially scaled k0
k1(x)	Mod. Bessel, 3rd kind, order 1
k1e(x)	Exponentially scaled k1
kn(nn,x)	Mod. Bessel, 3rd kind, order n
lbeta(a,b)	Natural log of |beta|
ldexp(x,exp)	multiply floating-point number by integral power of 2
log(x)	Logarithm, base e
log10(x)	Logarithm, base 10
logb(x)	radix-independant exponent
log1p(x)	log(1+x)
ndtr(x)	Normal distribution
ndtri(x)	Inverse normal distribution
pdtrc(k,m)	Complemented Poisson
pdtr(k,m)	Poisson distribution
pdtri(k,y)	Inverse Poisson distribution
pow(x,y)	power function
psi(x)	Psi (digamma) function
rand()	Random value between 0..RAND_MAX
random()	Random value between 0..RAND_MAX
rgamma(x)	Reciprocal Gamma
rint(x)	round to nearest integer
sin(x)	Sine
sinh(x)	Hyperbolic sine
spence(x)	Dilogarithm
sqrt(x)	Square root
stdtr(k,t)	Student's t distribution
stdtri(k,p)	Inverse student's t distribution
struve(v,x)	Struve function
tan(x)	Tangent
tanh(x)	Hyperbolic tangent
true_gamma(x)	true gamma
y0(x)	Bessel, second kind, order 0
y1(x)	Bessel, second kind, order 1
yn(n,x)	Bessel, second kind, order n
yv(v,x)	Bessel, noninteger order
zeta(x,y)	Riemann Zeta function
zetac(x)	Two argument zeta function

GSL special function
For more information about the functions see the documentation of GSL.
Function	Description
gsl_log1p(x)	log(1+x)
gsl_expm1(x)	exp(x)-1
gsl_hypot(x,y)	sqrt{x^2 + y^2}
gsl_acosh(x)	arccosh(x)
gsl_asinh(x)	arcsinh(x)
gsl_atanh(x)	arctanh(x)
airy_Ai(x)	Airy function Ai(x)
airy_Bi(x)	Airy function Bi(x)
airy_Ais(x)	scaled version of the Airy function S_A(x) Ai(x)
airy_Bis(x)	scaled version of the Airy function S_B(x) Bi(x)
airy_Aid(x)	Airy function derivative Ai'(x)
airy_Bid(x)	Airy function derivative Bi'(x)
airy_Aids(x)	derivative of the scaled Airy function S_A(x) Ai(x)
airy_Bids(x)	derivative of the scaled Airy function S_B(x) Bi(x)
airy_0_Ai(s)	s-th zero of the Airy function Ai(x)
airy_0_Bi(s)	s-th zero of the Airy function Bi(x)
airy_0_Aid(s)	s-th zero of the Airy function derivative Ai'(x)
airy_0_Bid(s)	s-th zero of the Airy function derivative Bi'(x)
bessel_JJ0(x)	regular cylindrical Bessel function of zeroth order, J_0(x)
bessel_JJ1(x)	regular cylindrical Bessel function of first order, J_1(x)
bessel_Jn(n,x)	regular cylindrical Bessel function of order n, J_n(x)
bessel_YY0(x)	irregular cylindrical Bessel function of zeroth order, Y_0(x)
bessel_YY1(x)	irregular cylindrical Bessel function of first order, Y_1(x)
bessel_Yn(n,x)	irregular cylindrical Bessel function of order n, Y_n(x)
bessel_I0(x)	regular modified cylindrical Bessel function of zeroth order, I_0(x)
bessel_I1(x)	regular modified cylindrical Bessel function of first order, I_1(x)
bessel_In(n,x)	regular modified cylindrical Bessel function of order n, I_n(x)
bessel_II0s(x)	scaled regular modified cylindrical Bessel function of zeroth order, exp (-|x|) I_0(x)
bessel_II1s(x)	scaled regular modified cylindrical Bessel function of first order, exp(-|x|) I_1(x)
bessel_Ins(n,x)	scaled regular modified cylindrical Bessel function of order n, exp(-|x|) I_n(x)
bessel_K0(x)	irregular modified cylindrical Bessel function of zeroth order, K_0(x)
bessel_K1(x)	irregular modified cylindrical Bessel function of first order, K_1(x)
bessel_Kn(n,x)	irregular modified cylindrical Bessel function of order n, K_n(x)
bessel_KK0s(x)	scaled irregular modified cylindrical Bessel function of zeroth order, exp (x) K_0(x)
bessel_KK1s(x)	scaled irregular modified cylindrical Bessel function of first order, exp(x) K_1(x)
bessel_Kns(n,x)	scaled irregular modified cylindrical Bessel function of order n, exp(x) K_n(x)
bessel_j0(x)	regular spherical Bessel function of zeroth order, j_0(x)
bessel_j1(x)	regular spherical Bessel function of first order, j_1(x)
bessel_j2(x)	regular spherical Bessel function of second order, j_2(x)
bessel_jl(l,x)	regular spherical Bessel function of order l, j_l(x)
bessel_y0(x)	irregular spherical Bessel function of zeroth order, y_0(x)
bessel_y1(x)	irregular spherical Bessel function of first order, y_1(x)
bessel_y2(x)	irregular spherical Bessel function of second order, y_2(x)
bessel_yl(l,x)	irregular spherical Bessel function of order l, y_l(x)
bessel_i0s(x)	scaled regular modified spherical Bessel function of zeroth order, exp(-|x|) i_0(x)
bessel_i1s(x)	scaled regular modified spherical Bessel function of first order, exp(-|x|) i_1(x)
bessel_i2s(x)	scaled regular modified spherical Bessel function of second order, exp(-|x|) i_2(x)
bessel_ils(l,x)	scaled regular modified spherical Bessel function of order l, exp(-|x|) i_l(x)
bessel_k0s(x)	scaled irregular modified spherical Bessel function of zeroth order, exp(x) k_0(x)
bessel_k1s(x)	scaled irregular modified spherical Bessel function of first order, exp(x) k_1(x)
bessel_k2s(x)	scaled irregular modified spherical Bessel function of second order, exp(x) k_2(x)
bessel_kls(l,x)	scaled irregular modified spherical Bessel function of order l, exp(x) k_l(x)
bessel_Jnu(nu,x)	regular cylindrical Bessel function of fractional order nu, J_\nu(x)
bessel_Ynu(nu,x)	irregular cylindrical Bessel function of fractional order nu, Y_\nu(x)
bessel_Inu(nu,x)	regular modified Bessel function of fractional order nu, I_\nu(x)
bessel_Inus(nu,x)	scaled regular modified Bessel function of fractional order nu, exp(-|x|) I_\nu(x)
bessel_Knu(nu,x)	irregular modified Bessel function of fractional order nu, K_\nu(x)
bessel_lnKnu(nu,x)	logarithm of the irregular modified Bessel function of fractional order nu,ln(K_\nu(x))
bessel_Knus(nu,x)	scaled irregular modified Bessel function of fractional order nu, exp(|x|) K_\nu(x)
bessel_0_J0(s)	s-th positive zero of the Bessel function J_0(x)
bessel_0_J1(s)	s-th positive zero of the Bessel function J_1(x)
bessel_0_Jnu(nu,s)	s-th positive zero of the Bessel function J_nu(x)
clausen(x)	Clausen integral Cl_2(x)
hydrogenicR_1(Z,R)	lowest-order normalized hydrogenic bound state radial wavefunction R_1 := 2Z \sqrt{Z} \exp(-Z r)
hydrogenicR(n,l,Z,R)	n-th normalized hydrogenic bound state radial wavefunction
dawson(x)	Dawson's integral
debye_1(x)	first-order Debye function D_1(x) = (1/x) \int_0^x dt (t/(e^t - 1))
debye_2(x)	second-order Debye function D_2(x) = (2/x^2) \int_0^x dt (t^2/(e^t - 1))
debye_3(x)	third-order Debye function D_3(x) = (3/x^3) \int_0^x dt (t^3/(e^t - 1))
debye_4(x)	fourth-order Debye function D_4(x) = (4/x^4) \int_0^x dt (t^4/(e^t - 1))
dilog(x)	dilogarithm
ellint_Kc(k)	complete elliptic integral K(k)
ellint_Ec(k)	complete elliptic integral E(k)
ellint_F(phi,k)	incomplete elliptic integral F(phi,k)
ellint_E(phi,k)	incomplete elliptic integral E(phi,k)
ellint_P(phi,k,n)	incomplete elliptic integral P(phi,k,n)
ellint_D(phi,k,n)	incomplete elliptic integral D(phi,k,n)
ellint_RC(x,y)	incomplete elliptic integral RC(x,y)
ellint_RD(x,y,z)	incomplete elliptic integral RD(x,y,z)
ellint_RF(x,y,z)	incomplete elliptic integral RF(x,y,z)
ellint_RJ(x,y,z)	incomplete elliptic integral RJ(x,y,z,p)
gsl_erf(x)	error function erf(x) = (2/\sqrt(\pi)) \int_0^x dt \exp(-t^2)
gsl_erfc(x)	complementary error function erfc(x) = 1 - erf(x) = (2/\sqrt(\pi)) \int_x^\infty \exp(-t^2)
log_erfc(x)	logarithm of the complementary error function \log(\erfc(x))
erf_Z(x)	Gaussian probability function Z(x) = (1/(2\pi)) \exp(-x^2/2)
erf_Q(x)	upper tail of the Gaussian probability function Q(x) = (1/(2\pi)) \int_x^\infty dt \exp(-t^2/2)
gsl_exp(x)	exponential function
exprel(x)	(exp(x)-1)/x using an algorithm that is accurate for small x
exprel_2(x)	2(exp(x)-1-x)/x^2 using an algorithm that is accurate for small x
exprel_n(n,x)	n-relative exponential, which is the n-th generalization of the functions `gsl_sf_exprel'
exp_int_E1(x)	exponential integral E_1(x), E_1(x) := Re \int_1^\infty dt \exp(-xt)/t
exp_int_E2(x)	second-order exponential integral E_2(x), E_2(x) := \Re \int_1^\infty dt \exp(-xt)/t^2
exp_int_Ei(x)	exponential integral E_i(x), Ei(x) := PV(\int_{-x}^\infty dt \exp(-t)/t)
shi(x)	Shi(x) = \int_0^x dt sinh(t)/t
chi(x)	integral Chi(x) := Re[ gamma_E + log(x) + \int_0^x dt (cosh[t]-1)/t]
expint_3(x)	exponential integral Ei_3(x) = \int_0^x dt exp(-t^3) for x >= 0
si(x)	Sine integral Si(x) = \int_0^x dt sin(t)/t
ci(x)	Cosine integral Ci(x) = -\int_x^\infty dt cos(t)/t for x > 0
atanint(x)	Arctangent integral AtanInt(x) = \int_0^x dt arctan(t)/t
fermi_dirac_m1(x)	complete Fermi-Dirac integral with an index of -1, F_{-1}(x) = e^x / (1 + e^x)
fermi_dirac_0(x)	complete Fermi-Dirac integral with an index of 0, F_0(x) = \ln(1 + e^x)
fermi_dirac_1(x)	complete Fermi-Dirac integral with an index of 1, F_1(x) = \int_0^\infty dt (t /(\exp(t-x)+1))
fermi_dirac_2(x)	complete Fermi-Dirac integral with an index of 2, F_2(x) = (1/2) \int_0^\infty dt (t^2 /(\exp(t-x)+1))
fermi_dirac_int(j,x)	complete Fermi-Dirac integral with an index of j, F_j(x) = (1/Gamma(j+1)) \int_0^\infty dt (t^j /(exp(t-x)+1))
fermi_dirac_mhalf(x)	complete Fermi-Dirac integral F_{-1/2}(x)
fermi_dirac_half(x)	complete Fermi-Dirac integral F_{1/2}(x)
fermi_dirac_3half(x)	complete Fermi-Dirac integral F_{3/2}(x)
fermi_dirac_inc_0(x,b)	incomplete Fermi-Dirac integral with an index of zero, F_0(x,b) = \ln(1 + e^{b-x}) - (b-x)
gamma(x)	Gamma function
lngamma(x)	logarithm of the Gamma function
gammastar(x)	regulated Gamma Function \Gamma^*(x) for x > 0
gammainv(x)	reciprocal of the gamma function, 1/Gamma(x) using the real Lanczos method.
taylorcoeff(n,x)	Taylor coefficient x^n / n! for x >= 0
fact(n)	factorial n!
doublefact(n)	double factorial n!! = n(n-2)(n-4)...
lnfact(n)	logarithm of the factorial of n, log(n!)
lndoublefact(n)	logarithm of the double factorial log(n!!)
choose(n,m)	combinatorial factor `n choose m' = n!/(m!(n-m)!)
lnchoose(n,m)	logarithm of `n choose m'
poch(a,x)	Pochhammer symbol (a)_x := \Gamma(a + x)/\Gamma(x)
lnpoch(a,x)	logarithm of the Pochhammer symbol (a)_x := \Gamma(a + x)/\Gamma(x)
pochrel(a,x)	relative Pochhammer symbol ((a,x) - 1)/x where (a,x) = (a)_x := \Gamma(a + x)/\Gamma(a)
gamma_inc_Q(a,x)	normalized incomplete Gamma Function P(a,x) = 1/Gamma(a) \int_x\infty dt t^{a-1} exp(-t) for a > 0, x >= 0
gamma_inc_P(a,x)	complementary normalized incomplete Gamma Function P(a,x) = 1/Gamma(a) \int_0^x dt t^{a-1} exp(-t) for a > 0, x >= 0
gsl_beta(a,b)	Beta Function, B(a,b) = Gamma(a) Gamma(b)/Gamma(a+b) for a > 0, b > 0
lnbeta(a,b)	logarithm of the Beta Function, log(B(a,b)) for a > 0, b > 0
betainc(a,b,x)	normalize incomplete Beta function B_x(a,b)/B(a,b) for a > 0, b > 0
gegenpoly_1(lambda,x)	Gegenbauer polynomial C^{lambda}_1(x)
gegenpoly_2(lambda,x)	Gegenbauer polynomial C^{lambda}_2(x)
gegenpoly_3(lambda,x)	Gegenbauer polynomial C^{lambda}_3(x)
gegenpoly_n(n,lambda,x)	Gegenbauer polynomial C^{lambda}_n(x)
hyperg_0F1(c,x)	hypergeometric function 0F1(c,x)
hyperg_1F1i(m,n,x)	confluent hypergeometric function 1F1(m,n,x) = M(m,n,x) for integer parameters m, n
hyperg_1F1(a,b,x)	confluent hypergeometric function 1F1(m,n,x) = M(m,n,x) for general parameters a,b
hyperg_Ui(m,n,x)	confluent hypergeometric function U(m,n,x) for integer parameters m,n
hyperg_U(a,b,x)	confluent hypergeometric function U(a,b,x)
hyperg_2F1(a,b,c,x)	Gauss hypergeometric function 2F1(a,b,c,x)
hyperg_2F1c(ar,ai,c,x)	Gauss hypergeometric function 2F1(a_R + i a_I, a_R - i a_I, c, x) with complex parameters
hyperg_2F1r(ar,ai,c,x)	renormalized Gauss hypergeometric function 2F1(a,b,c,x) / Gamma(c)
hyperg_2F1cr(ar,ai,c,x)	renormalized Gauss hypergeometric function 2F1(a_R + i a_I, a_R - i a_I, c, x) / Gamma(c)
hyperg_2F0(a,b,x)	hypergeometric function 2F0(a,b,x)
laguerre_1(a,x)	generalized Laguerre polynomials L^a_1(x)
laguerre_2(a,x)	generalized Laguerre polynomials L^a_2(x)
laguerre_3(a,x)	generalized Laguerre polynomials L^a_3(x)
lambert_W0(x)	principal branch of the Lambert W function, W_0(x)
lambert_Wm1(x)	secondary real-valued branch of the Lambert W function, W_{-1}(x)
legendre_P1(x)	Legendre polynomials P_1(x)
legendre_P2(x)	Legendre polynomials P_2(x)
legendre_P3(x)	Legendre polynomials P_3(x)
legendre_Pl(l,x)	Legendre polynomials P_l(x)
legendre_Q0(x)	Legendre polynomials Q_0(x)
legendre_Q1(x)	Legendre polynomials Q_1(x)
legendre_Ql(l,x)	Legendre polynomials Q_l(x)
legendre_Plm(l,m,x)	associated Legendre polynomial P_l^m(x)
legendre_sphPlm(l,m,x)	normalized associated Legendre polynomial $\sqrt{(2l+1)/(4\pi)} \sqrt{(l-m)!/(l+m)!} P_l^m(x)$ suitable for use in spherical harmonics
conicalP_half(lambda,x)	irregular Spherical Conical Function P^{1/2}_{-1/2 + i \lambda}(x) for x > -1
conicalP_mhalf(lambda,x)	regular Spherical Conical Function P^{-1/2}_{-1/2 + i \lambda}(x) for x > -1
conicalP_0(lambda,x)	conical function P^0_{-1/2 + i \lambda}(x) for x > -1
conicalP_1(lambda,x)	conical function P^1_{-1/2 + i \lambda}(x) for x > -1
conicalP_sphreg(l,lambda,x)	Regular Spherical Conical Function P^{-1/2-l}_{-1/2 + i \lambda}(x) for x > -1, l >= -1
conicalP_cylreg(l,lambda,x)	Regular Cylindrical Conical Function P^{-m}_{-1/2 + i \lambda}(x) for x > -1, m >= -1
legendre_H3d_0(lambda,eta)	zeroth radial eigenfunction of the Laplacian on the 3-dimensional hyperbolic space, L^{H3d}_0(lambda,eta) := sin(lambda eta)/(lambda sinh(eta)) for eta >= 0
legendre_H3d_1(lambda,eta)	zeroth radial eigenfunction of the Laplacian on the 3-dimensional hyperbolic space, L^{H3d}_1(lambda,eta) := 1/sqrt{lambda^2 + 1} sin(lambda eta)/(lambda sinh(eta)) (coth(eta) - lambda cot(lambda eta)) for eta >= 0
legendre_H3d(l,lambda,eta)	L'th radial eigenfunction of the Laplacian on the 3-dimensional hyperbolic space eta >= 0, l >= 0
gsl_log(x)	logarithm of X
loga(x)	logarithm of the magnitude of X, log(|x|)
logp(x)	log(1 + x) for x > -1 using an algorithm that is accurate for small x
logm(x)	log(1 + x) - x for x > -1 using an algorithm that is accurate for small x
gsl_pow(x,n)	power x^n for integer n
psii(n)	digamma function psi(n) for positive integer n
psi(x)	digamma function psi(n) for general x
psiy(y)	real part of the digamma function on the line 1+i y, Re[psi(1 + i y)]
ps1i(n)	Trigamma function psi'(n) for positive integer n
ps_n(m,x)	polygamma function psi^{(m)}(x) for m >= 0, x > 0
synchrotron_1(x)	first synchrotron function x \int_x^\infty dt K_{5/3}(t) for x >= 0
synchrotron_2(x)	second synchrotron function x K_{2/3}(x) for x >= 0
transport_2(x)	transport function J(2,x)
transport_3(x)	transport function J(3,x)
transport_4(x)	transport function J(4,x)
transport_5(x)	transport function J(5,x)
hypot(x,y)	hypotenuse function \sqrt{x^2 + y^2}
sinc(x)	sinc(x) = sin(pi x) / (pi x)
lnsinh(x)	log(sinh(x)) for x > 0
lncosh(x)	log(cosh(x))
zetai(n)	Riemann zeta function zeta(n) for integer N
gsl_zeta(s)	Riemann zeta function zeta(s) for arbitrary s
hzeta(s,q)	Hurwitz zeta function zeta(s,q) for s > 1, q > 0
etai(n)	eta function eta(n) for integer n
eta(s)	eta function eta(s) for arbitrary s

GSL random number distributions
For more information about the functions see the documentation of GSL.
Function	Description
gaussian(x,sigma)	probability density p(x) at X for a Gaussian distribution with standard deviation SIGMA
ugaussian(x)	unit Gaussian distribution. They are equivalent to the functions above with a standard deviation of one, SIGMA = 1
gaussian_tail(x,a,sigma)	probability density p(x) at X for a Gaussian tail distribution with standard deviation SIGMA and lower limit A
ugaussian_tail(x,a)	tail of a unit Gaussian distribution. They are equivalent to the functions above with a standard deviation of one, SIGMA = 1
bivariate_gaussian(x,y,sigma_x,sigma_y,rho)	probability density p(x,y) at (X,Y) for a bivariate gaussian distribution with standard deviations SIGMA_X, SIGMA_Y and correlation coefficient RHO
exponential(x,mu)	probability density p(x) at X for an exponential distribution with mean MU
laplace(x,a)	probability density p(x) at X for a Laplace distribution with mean A
exppow(x,a,b)	probability density p(x) at X for an exponential power distribution with scale parameter A and exponent B
cauchy(x,a)	probability density p(x) at X for a Cauchy distribution with scale parameter A
rayleigh(x,sigma)	probability density p(x) at X for a Rayleigh distribution with scale parameter SIGMA
rayleigh_tail(x,a,sigma)	probability density p(x) at X for a Rayleigh tail distribution with scale parameter SIGMA and lower limit A
landau(x)	probability density p(x) at X for the Landau distribution
gamma_pdf(x,a,b)	probability density p(x) at X for a gamma distribution with parameters A and B
flat(x,a,b)	probability density p(x) at X for a uniform distribution from A to B
lognormal(x,zeta,sigma)	probability density p(x) at X for a lognormal distribution with parameters ZETA and SIGMA
chisq(x,nu)	probability density p(x) at X for a chi-squared distribution with NU degrees of freedom
fdist(x,nu1,nu2)	probability density p(x) at X for an F-distribution with NU1 and NU2 degrees of freedom
tdist(x,nu)	probability density p(x) at X for a t-distribution with NU degrees of freedom
beta_pdf(x,a,b)	probability density p(x) at X for a beta distribution with parameters A and B
logistic(x,a)	probability density p(x) at X for a logistic distribution with scale parameter A
pareto(x,a,b)	probability density p(x) at X for a Pareto distribution with exponent A and scale B
weibull(x,a,b)	probability density p(x) at X for a Weibull distribution with scale A and exponent B
gumbel1(x,a,b)	probability density p(x) at X for a Type-1 Gumbel distribution with parameters A and B
gumbel2(x,a,b)	probability density p(x) at X for a Type-2 Gumbel distribution with parameters A and B
poisson(k,mu)	probability p(k) of obtaining K from a Poisson distribution with mean mu
bernoulli(k,p)	probability p(k) of obtaining K from a Bernoulli distribution with probability parameter P
binomial(k,p,n)	probability p(k) of obtaining K from a binomial distribution with parameters P and N
negative_binomial(k,p,n)	probability p(k) of obtaining K from a negative binomial distribution with parameters P and N
pascal(k,p,n)	probability p(k) of obtaining K from a Pascal distribution with parameters P and N
geometric(k,p)	probability p(k) of obtaining K from a geometric distribution with probability parameter P
hypergeometric(k,n1,n2,t)	probability p(k) of obtaining K from a hypergeometric distribution with parameters N1, N2, N3
logarithmic(k,p)	probability p(k) of obtaining K from a logarithmic distribution with probability parameter P

constants
Constant	Description
PI1	1/pi
PI2	2/pi
PISQRT2	2/sqrt(pi)
E	e
LN2	log_e 2
LN10	log_e 10
LOG2E	log_2 e
LOG10E	log_10 e
PI	pi
PI_2	pi/2
PI_4	pi/4
SQRT2	sqrt(2)
SQRT1_2	1/sqrt(2)

GSL constants
For more information about this constants see the documentation of GSL.
Constant	Description
c	The speed of light in vacuum
mu0	The permeability of free space
e0	The permittivity of free space
Na	Avogadro's number
F	The molar charge of 1 Faraday
k	The Boltzmann constant
R0	The molar gas constant
V0	The standard gas volume
Gauss	The magnetic field of 1 Gauss
mu	The length of 1 micron
ha	The area of 1 hectare
mph	The speed of 1 mile per hour
kmh	The speed of 1 kilometer per hour
au	The length of 1 astronomical unit (mean earth-sun distance)
G	The gravitational constant
ly	The distance of 1 light-year
pc	The distance of 1 parsec
g	The standard gravitational acceleration on Earth
ms	The mass of the Sun
e	The charge of the electron
eV	The energy of 1 electron volt
amu	The unified atomic mass
me	The mass of the electron
mmu	The mass of the muon
mp	The mass of the proton
mn	The mass of the neutron
alpha	The electromagnetic fine structure constant
Ry	The Rydberg constant
a0	The Bohr radius
A	The length of 1 angstrom
barn	The area of 1 barn
muB	The Bohr Magneton
muN	The Nuclear Magneton
mue	The magnetic moment of the electron
mup	The magnetic moment of the proton
min	The number of seconds in 1 minute
h	The number of seconds in 1 hour
d	The number of seconds in 1 day
week	The number of seconds in 1 week
in	The length of 1 inch
ft	The length of 1 foot
yard	The length of 1 yard
mile	The length of 1 mile
mil	The length of 1 mil (1/1000th of an inch)
nmile	The length of 1 nautical mile
fathom	The length of 1 fathom
knot	The speed of 1 knot
pt	The length of 1 printer's point (1/72 inch)
texpt	The length of 1 TeX point (1/72.27 inch)
acre	The area of 1 acre
ltr	The volume of 1 liter
us_gallon	The volume of 1 US gallon
can_gallon	The volume of 1 Canadian gallon
uk_gallon	The volume of 1 UK gallon
quart	The volume of 1 quart
pint	The volume of 1 pint
pound	The mass of 1 pound
ounce	The mass of 1 ounce
ton	The mass of 1 ton
mton	The mass of 1 metric ton (1000 kg)
uk_ton	The mass of 1 UK ton
troy_ounce	The mass of 1 troy ounce
carat	The mass of 1 carat
gram_force	The force of 1 gram weight
pound_force	The force of 1 pound weight
kilepound_force	The force of 1 kilopound weight
poundal	The force of 1 poundal
cal	The energy of 1 calorie
btu	The energy of 1 British Thermal Unit
therm	The energy of 1 Therm
hp	The power of 1 horsepower
bar	The pressure of 1 bar
atm	The pressure of 1 standard atmosphere
torr	The pressure of 1 torr
mhg	The pressure of 1 meter of mercury
inhg	The pressure of 1 inch of mercury
inh2o	The pressure of 1 inch of water
psi	The pressure of 1 pound per square inch
poise	The dynamic viscosity of 1 poise
stokes	The kinematic viscosity of 1 stokes
stilb	The luminance of 1 stilb
lumen	The luminous flux of 1 lumen
lux	The illuminance of 1 lux
phot	The illuminance of 1 phot
ftcandle	The illuminance of 1 footcandle
lambert	The luminance of 1 lambert
ftlambert	The luminance of 1 footlambert
curie	The activity of 1 curie
roentgen	The exposure of 1 roentgen
rad	The absorbed dose of 1 rad
The following constants are the same constants in cgs system :
Constant	Description
c_cgs
G_cgs
h_cgs
hbar_cgs
mu0_cgs
au_cgs
ly_cgs
pc_cgs
g_cgs
eV_cgs
me_cgs
mmu_cgs
mp_cgs
mn_cgs
Ry_cgs
k_cgs
muB_cgs
muN_cgs
mue_cgs
mup_cgs
R0_cgs
V0_cgs
in_cgs
ft_cgs
yard_cgs
mile_cgs
nile_cgs
fathom_cgs
mil_cgs
pt_cgs
texpt_cgs
mu_cgs
A_cgs
ha_cgs
acre_cgs
barn_cgs
ltr_cgs
us_gallon-cgs
quart_cgs
pint_cgs
cup_cgs
fluid_ouncs_cgs
tablespoon_cgs
teaspoon_cgs
can_gallon_cgs
uk_gallon_cgs
mph_cgs
kmh_cgs
knot_cgs
pound_cgs
ouncs_cgs
ton_cgs
mton_cgs
uk_ton_cgs
troy_ounce_cgs
carat_cgs
amu_cgs
gram_cgs
pound_force_cgs
kilopound_force_cgs
poundal_cgs
cal_cgs
btu_cgs
therm_cgs
hp_cgs
bar_cgs
atm_cgs
torr_cgs
mhg_cgs
inhg_cgs
inh2o_cgs
psi_cgs
poise_cgs
stokes_cgs
F_cgs
e_cgs
G_cgs
stilb_cgs
lumen_cgs
lux_cgs
phot_cgs
ftcandle_cgs
lambert_cgs
ftlambert_cgs
curie_cgs
roentgen_cgs
rad_cgs
sm_cgs
a0_cgs
e0_cgs