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

Standard functions
Function	Description
cbrt(x)	Cube root
ceil(x)	Truncate upward to integer
fabs(x)	Absolute value
gamma(x)	Gamma function
ldexp(x,y)	x * 2y
ln(x)	Logarithm, base e
log(x)	Logarithm, base e
log1p(x)	log(1+x)
log10(x)	Logarithm, base 10
logb(x)	Radix-independent exponent
pow(x,n)	power function xn
powint(x,n)	integer power function xn
pow2(x)	power function x2
pow3(x)	power function x3
pow4(x)	power function x4
pow5(x)	power function x5
pow6(x)	power function x6
pow7(x)	power function x7
pow8(x)	power function x8
pow9(x)	power function x9
rint(x)	round to nearest integer
round(x)	round to nearest integer
sqrt(x)	Square root
tgamma(x)	Gamma function
trunc(x)	Returns the greatest integer less than or equal to x

Trigonometric functions
Function	Description
sin(x)	Sine
cos(x)	Cosine
tan(x)	Tangent
asin(x)	Inverse sine
acos(x)	Inverse cosine
atan(x)	Inverse tangent
atan2(y,x)	Inverse tangent function of two variables
sinh(x)	Hyperbolic sine
cosh(x)	Hyperbolic cosine
tanh(x)	Hyperbolic tangent
asinh(x)	Inverse hyperbolic sine
acosh(x)	Inverse hyperbolic cosine
atanh(x)	Inverse hyperbolic tangent
sec(x)	Secant
csc(x)	Cosecant
cot(x)	Cotangent
asec(x)	Inverse secant
acsc(x)	Inverse cosecant
acot(x)	Inverse cotangent
sech(x)	Hyperbolic secant
csch(x)	Hyperbolic cosecant
coth(x)	Hyperbolic cotangent
asech(x)	Inverse hyperbolic secant
acsch(x)	Inverse hyperbolic cosecant
acoth(x)	Inverse hyperbolic cotangent
sinc(x)	Sinc function sin(π x) / (π x)
logsinh(x)	log(sinh(x)) for x > 0
logcosh(x)	log(cosh(x))
hypot(x,y)	Hypotenuse function √{x2 + y2}
hypot3(x,y,z)	√{x2 + y2 + z2}
anglesymm(α)	force the angle α to lie in the range (-π,π]
anglepos(α)	force the angle α to lie in the range (0,2π]

Special functions
For more information about the functions see the documentation of GSL.
Function	Description
Ai(x)	Airy function Ai(x)
Bi(x)	Airy function Bi(x)
Ais(x)	scaled version of the Airy function SAi(x)
Bis(x)	scaled version of the Airy function SBi(x)
Aid(x)	Airy function derivative Ai'(x)
Bid(x)	Airy function derivative Bi'(x)
Aids(x)	derivative of the scaled Airy function SAi(x)
Bids(x)	derivative of the scaled Airy function SBi(x)
Ai0(s)	s-th zero of the Airy function Ai(x)
Bi0(s)	s-th zero of the Airy function Bi(x)
Aid0(s)	s-th zero of the Airy function derivative Ai'(x)
Bid0(s)	s-th zero of the Airy function derivative Bi'(x)
J0(x)	regular cylindrical Bessel function of zeroth order, J0(x)
J1(x)	regular cylindrical Bessel function of first order, J1(x)
Jn(n,x)	regular cylindrical Bessel function of order n, Jn(x)
Y0(x)	irregular cylindrical Bessel function of zeroth order, Y0(x)
Y1(x)	irregular cylindrical Bessel function of first order, Y1(x)
Yn(n,x)	irregular cylindrical Bessel function of order n, Yn(x)
I0(x)	regular modified cylindrical Bessel function of zeroth order, I0(x)
I1(x)	regular modified cylindrical Bessel function of first order, I1(x)
In(n,x)	regular modified cylindrical Bessel function of order n, In(x)
I0s(x)	scaled regular modified cylindrical Bessel function of zeroth order, exp (-|x|) I0(x)
I1s(x)	scaled regular modified cylindrical Bessel function of first order, exp(-|x|) I1(x)
Ins(n,x)	scaled regular modified cylindrical Bessel function of order n, exp(-|x|) In(x)
K0(x)	irregular modified cylindrical Bessel function of zeroth order, K0(x)
K1(x)	irregular modified cylindrical Bessel function of first order, K1(x)
Kn(n,x)	irregular modified cylindrical Bessel function of order n, Kn(x)
K0s(x)	scaled irregular modified cylindrical Bessel function of zeroth order, exp(x) K0(x)
K1s(x)	scaled irregular modified cylindrical Bessel function of first order, exp(x) K1(x)
Kns(n,x)	scaled irregular modified cylindrical Bessel function of order n, exp(x) Kn(x)
j0(x)	regular spherical Bessel function of zeroth order, j0(x)
j1(x)	regular spherical Bessel function of first order, j1(x)
j2(x)	regular spherical Bessel function of second order, j2(x)
jl(l,x)	regular spherical Bessel function of order l, jl(x)
y0(x)	irregular spherical Bessel function of zeroth order, y0(x)
y1(x)	irregular spherical Bessel function of first order, y1(x)
y2(x)	irregular spherical Bessel function of second order, y2(x)
yl(l,x)	irregular spherical Bessel function of order l, yl(x)
i0s(x)	scaled regular modified spherical Bessel function of zeroth order, exp(-|x|) i0(x)
i1s(x)	scaled regular modified spherical Bessel function of first order, exp(-|x|) i1(x)
i2s(x)	scaled regular modified spherical Bessel function of second order, exp(-|x|) i2(x)
ils(l,x)	scaled regular modified spherical Bessel function of order l, exp(-|x|) il(x)
k0s(x)	scaled irregular modified spherical Bessel function of zeroth order, exp(x) k0(x)
k1s(x)	scaled irregular modified spherical Bessel function of first order, exp(x) k1(x)
k2s(x)	scaled irregular modified spherical Bessel function of second order, exp(x) k2(x)
kls(l,x)	scaled irregular modified spherical Bessel function of order l, exp(x) kl(x)
Jnu(ν,x)	regular cylindrical Bessel function of fractional order ν, Jν(x)
Ynu(ν,x)	irregular cylindrical Bessel function of fractional order ν, Yν(x)
Inu(ν,x)	regular modified Bessel function of fractional order ν, Iν(x)
Inus(ν,x)	scaled regular modified Bessel function of fractional order ν, exp(-|x|) Iν(x)
Knu(ν,x)	irregular modified Bessel function of fractional order ν, Kν(x)
lnKnu(ν,x)	logarithm of the irregular modified Bessel function of fractional order ν,ln(Kν(x))
Knus(ν,x)	scaled irregular modified Bessel function of fractional order ν, exp(|x|) Kν(x)
J0_0(s)	s-th positive zero of the Bessel function J0(x)
J1_0(s)	s-th positive zero of the Bessel function J1(x)
Jnu_0(nu,s)	s-th positive zero of the Bessel function Jν(x)
clausen(x)	Clausen integral Cl2(x)
hydrogenicR_1(Z,R)	lowest-order normalized hydrogenic bound state radial wavefunction R1 := 2Z √Z exp(-Z r)
hydrogenicR(n,l,Z,R)	n-th normalized hydrogenic bound state radial wavefunction
dawson(x)	Dawson's integral
D1(x)	first-order Debye function D1(x) = (1/x) ∫0x(t/(et - 1)) dt
D2(x)	second-order Debye function D2(x) = (2/x2) ∫0x (t2/(et - 1)) dt
D3(x)	third-order Debye function D3(x) = (3/x3) ∫0x (t3/(et - 1)) dt
D4(x)	fourth-order Debye function D4(x) = (4/x4) ∫0x (t4/(et - 1)) dt
D5(x)	fifth-order Debye function D5(x) = (5/x5) ∫0x (t5/(et - 1)) dt
D6(x)	sixth-order Debye function D6(x) = (6/x6) ∫0x (t6/(et - 1)) dt
Li2(x)	dilogarithm
Kc(k)	complete elliptic integral K(k)
Ec(k)	complete elliptic integral E(k)
F(phi,k)	incomplete elliptic integral F(phi,k)
E(phi,k)	incomplete elliptic integral E(phi,k)
P(phi,k,n)	incomplete elliptic integral P(phi,k,n)
D(phi,k,n)	incomplete elliptic integral D(phi,k,n)
RC(x,y)	incomplete elliptic integral RC(x,y)
RD(x,y,z)	incomplete elliptic integral RD(x,y,z)
RF(x,y,z)	incomplete elliptic integral RF(x,y,z)
RJ(x,y,z)	incomplete elliptic integral RJ(x,y,z,p)
erf(x)	error function erf(x) = 2/√π ∫0x exp(-t2) dt
erfc(x)	complementary error function erfc(x) = 1 - erf(x) = 2/√π ∫x∞ exp(-t2) dt
log_erfc(x)	logarithm of the complementary error function log(erfc(x))
erf_Z(x)	Gaussian probability function Z(x) = (1/(2π)) exp(-x2/2)
erf_Q(x)	upper tail of the Gaussian probability function Q(x) = (1/(2π)) ∫x∞ exp(-t2/2) dt
hazard(x)	hazard function for the normal distribution
exp(x)	Exponential, base e
expm1(x)	exp(x)-1
exp_mult(x,y)	exponentiate x and multiply by the factor y to return the product y exp(x)
exprel(x)	(exp(x)-1)/x using an algorithm that is accurate for small x
exprel2(x)	2(exp(x)-1-x)/x2 using an algorithm that is accurate for small x
expreln(n,x)	n-relative exponential, which is the n-th generalization of the functions `exprel'
E1(x)	exponential integral E1(x), E1(x) := Re ∫1∞ exp(-xt)/t dt
E2(x)	second-order exponential integral E2(x), E2(x) := Re ∫1∞ exp(-xt)/t2 dt
En(x)	exponential integral E_n(x) of order n, En(x) := Re ∫1∞ exp(-xt)/tn dt)
Ei(x)	exponential integral E_i(x), Ei(x) := PV(∫-x∞ exp(-t)/t dt)
shi(x)	Shi(x) = ∫0x sinh(t)/t dt
chi(x)	integral Chi(x) := Re[ γE + log(x) + ∫0x (cosh[t]-1)/t dt ]
Ei3(x)	exponential integral Ei3(x) = ∫0x exp(-t3) dt for x >= 0
si(x)	Sine integral Si(x) = ∫0x sin(t)/t dt
ci(x)	Cosine integral Ci(x) = -∫x∞ cos(t)/t dt for x > 0
atanint(x)	Arctangent integral AtanInt(x) = ∫0x arctan(t)/t dt
Fm1(x)	complete Fermi-Dirac integral with an index of -1, F-1(x) = ex / (1 + ex)
F0(x)	complete Fermi-Dirac integral with an index of 0, F0(x) = ln(1 + ex)
F1(x)	complete Fermi-Dirac integral with an index of 1, F1(x) = ∫0∞ (t /(exp(t-x)+1)) dt
F2(x)	complete Fermi-Dirac integral with an index of 2, F2(x) = (1/2) ∫0∞ (t2 /(exp(t-x)+1)) dt
Fj(j,x)	complete Fermi-Dirac integral with an index of j, Fj(x) = (1/Γ(j+1)) ∫0∞ (tj /(exp(t-x)+1)) dt
Fmhalf(x)	complete Fermi-Dirac integral F-1/2(x)
Fhalf(x)	complete Fermi-Dirac integral F1/2(x)
F3half(x)	complete Fermi-Dirac integral F3/2(x)
Finc0(x,b)	incomplete Fermi-Dirac integral with an index of zero, F0(x,b) = ln(1 + eb-x) - (b-x)
lngamma(x)	logarithm of the Gamma function
gammastar(x)	regulated Gamma Function Γ*(x) for x > 0
gammainv(x)	reciprocal of the gamma function, 1/Γ(x) using the real Lanczos method.
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'
taylor(n,x)	Taylor coefficient xn / n! for x >= 0, n >= 0
poch(a,x)	Pochhammer symbol (a)x := Γ(a + x)/Γ(x)
lnpoch(a,x)	logarithm of the Pochhammer symbol (a)x := Γ(a + x)/Γ(x)
pochrel(a,x)	relative Pochhammer symbol ((a,x) - 1)/x where (a,x) = (a)x := Γ(a + x)/Γ(a)
gammainc(a,x)	incomplete Gamma Function Γ(a,x) = ∫x∞ ta-1 exp(-t) dt for a > 0, x >= 0
gammaincQ(a,x)	normalized incomplete Gamma Function P(a,x) = 1/Γ(a) ∫x∞ ta-1 exp(-t) dt for a > 0, x >= 0
gammaincP(a,x)	complementary normalized incomplete Gamma Function P(a,x) = 1/Γ(a) ∫0x ta-1 exp(-t) dt for a > 0, x >= 0
beta(a,b)	Beta Function, B(a,b) = Γ(a) Γ(b)/Γ(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
C1(λ,x)	Gegenbauer polynomial Cλ1(x)
C2(λ,x)	Gegenbauer polynomial Cλ2(x)
C3(λ,x)	Gegenbauer polynomial Cλ3(x)
Cn(n,λ,x)	Gegenbauer polynomial Cλn(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(a,b,x) = M(a,b,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(aR + i aI, aR - i aI, c, x) with complex parameters
hyperg_2F1r(aR,aI,c,x)	renormalized Gauss hypergeometric function 2F1(a,b,c,x) / Γ(c)
hyperg_2F1cr(aR,aI,c,x)	renormalized Gauss hypergeometric function 2F1(aR + i aI, aR - i aI, c, x) / Γ(c)
hyperg_2F0(a,b,x)	hypergeometric function 2F0(a,b,x)
L1(a,x)	generalized Laguerre polynomials La1(x)
L2(a,x)	generalized Laguerre polynomials La2(x)
L3(a,x)	generalized Laguerre polynomials La3(x)
W0(x)	principal branch of the Lambert W function, W0(x)
Wm1(x)	secondary real-valued branch of the Lambert W function, W-1(x)
P1(x)	Legendre polynomials P1(x)
P2(x)	Legendre polynomials P2(x)
P3(x)	Legendre polynomials P3(x)
Pl(l,x)	Legendre polynomials Pl(x)
Q0(x)	Legendre polynomials Q0(x)
Q1(x)	Legendre polynomials Q1(x)
Ql(l,x)	Legendre polynomials Ql(x)
Plm(l,m,x)	associated Legendre polynomial Plm(x)
Pslm(l,m,x)	normalized associated Legendre polynomial √{(2l+1)/(4π)} √{(l-m)!/(l+m)!} Plm(x) suitable for use in spherical harmonics
Phalf(λ,x)	irregular Spherical Conical Function P1/2-1/2 + i λ(x) for x > -1
Pmhalf(λ,x)	regular Spherical Conical Function P-1/2-1/2 + i λ(x) for x > -1
Pc0(λ,x)	conical function P0-1/2 + i λ(x) for x > -1
Pc1(λ,x)	conical function P1-1/2 + i λ(x) for x > -1
Psr(l,λ,x)	Regular Spherical Conical Function P-1/2-l-1/2 + i λ(x) for x > -1, l >= -1
Pcr(l,λ,x)	Regular Cylindrical Conical Function P-m-1/2 + i λ(x) for x > -1, m >= -1
H3d0(λ,η)	zeroth radial eigenfunction of the Laplacian on the 3-dimensional hyperbolic space, LH3d0(λ,,η) := sin(λ η)/(λ sinh(η)) for η >= 0
H3d1(λ,η)	zeroth radial eigenfunction of the Laplacian on the 3-dimensional hyperbolic space, LH3d1(λ,η) := 1/√{λ2 + 1} sin(λ η)/(λ sinh(η)) (coth(η) - λ cot(λ η)) for η >= 0
H3d(l,λ,η)	L'th radial eigenfunction of the Laplacian on the 3-dimensional hyperbolic space eta >= 0, l >= 0
logabs(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
psiint(n)	digamma function ψ(n) for positive integer n
psi(x)	digamma function ψ(n) for general x
psi1piy(y)	real part of the digamma function on the line 1+i y, Re[ψ(1 + i y)]
psi1int(n)	Trigamma function ψ'(n) for positive integer n
psi1(n)	Trigamma function ψ'(x) for general x
psin(m,x)	polygamma function ψ(m)(x) for m >= 0, x > 0
synchrotron1(x)	first synchrotron function x ∫x∞ K5/3(t) dt for x >= 0
synchrotron2(x)	second synchrotron function x K2/3(x) for x >= 0
J2(x)	transport function J(2,x)
J3(x)	transport function J(3,x)
J4(x)	transport function J(4,x)
J5(x)	transport function J(5,x)
zetaint(n)	Riemann zeta function ζ(n) for integer n
zeta(s)	Riemann zeta function ζ(s) for arbitrary s
zetam1int(n)	Riemann ζ function minus 1 for integer n
zetam1(s)	Riemann ζ function minus 1
zetaintm1(s)	Riemann ζ function for integer n minus 1
hzeta(s,q)	Hurwitz zeta function ζ(s,q) for s > 1, q > 0
etaint(n)	eta function η(n) for integer n
eta(s)	eta function η(s) for arbitrary s

Random number distributions
For more information about the functions see the documentation of GSL.
Function	Description
gaussian(x,σ)	probability density p(x) for a Gaussian distribution with standard deviation σ
ugaussian(x)	unit Gaussian distribution. They are equivalent to the functions above with a standard deviation of σ = 1
gaussianP(x,σ)	cumulative distribution functions P(x) for the Gaussian distribution with standard deviation σ
gaussianQ(x,σ)	cumulative distribution functions Q(x) for the Gaussian distribution with standard deviation σ
gaussianPinv(P,σ)	inverse cumulative distribution functions P(x) for the Gaussian distribution with standard deviation σ
gaussianQinv(Q,σ)	inverse cumulative distribution functions Q(x) for the Gaussian distribution with standard deviation σ
ugaussianP(x)	cumulative distribution function P(x) for the unit Gaussian distribution
ugaussianQ(x)	cumulative distribution function Q(x) for the unit Gaussian distribution
ugaussianPinv(P)	inverse cumulative distribution function P(x) for the unit Gaussian distribution
ugaussianQinv(Q)	inverse cumulative distribution function Q(x) for the unit Gaussian distribution
gaussiantail(x,a,σ)	probability density p(x) for a Gaussian tail distribution with standard deviation σ and lower limit a
ugaussiantail(x,a)	tail of a unit Gaussian distribution. They are equivalent to the functions above with a standard deviation of σ = 1
gaussianbi(x,y,σx,σy,ρ)	probability density p(x,y) for a bivariate gaussian distribution with standard deviations σx, σy and correlation coefficient ρ
exponential(x,μ)	probability density p(x) for an exponential distribution with mean μ
exponentialP(x,μ)	cumulative distribution function P(x) for an exponential distribution with mean μ
exponentialQ(x,μ)	cumulative distribution function Q(x) for an exponential distribution with mean μ
exponentialPinv(P,μ)	inverse cumulative distribution function P(x) for an exponential distribution with mean μ
exponentialQinv(Q,μ)	inverse cumulative distribution function Q(x) for an exponential distribution with mean μ
laplace(x,a)	probability density p(x) for a Laplace distribution with width a
laplaceP(x,a)	cumulative distribution function P(x) for a Laplace distribution with width a
laplaceQ(x,a)	cumulative distribution function Q(x) for a Laplace distribution with width a
laplacePinv(P,a)	inverse cumulative distribution function P(x) for an Laplace distribution with width a
laplaceQinv(Q,a)	inverse cumulative distribution function Q(x) for an Laplace distribution with width a
exppow(x,a,b)	probability density p(x) for an exponential power distribution with scale parameter a and exponent b
exppowP(x,a,b)	cumulative probability density P(x) for an exponential power distribution with scale parameter a and exponent b
exppowQ(x,a,b)	cumulative probability density Q(x) for an exponential power distribution with scale parameter a and exponent b
cauchy(x,a)	probability density p(x) for a Cauchy (Lorentz) distribution with scale parameter a
cauchyP(x,a)	cumulative distribution function P(x) for a Cauchy distribution with scale parameter a
cauchyQ(x,a)	cumulative distribution function Q(x) for a Cauchy distribution with scale parameter a
cauchyPinv(P,a)	inverse cumulative distribution function P(x) for a Cauchy distribution with scale parameter a
cauchyQinv(Q,a)	inverse cumulative distribution function Q(x) for a Cauchy distribution with scale parameter a
rayleigh(x,σ)	probability density p(x) for a Rayleigh distribution with scale parameter σ
rayleighP(x,σ)	cumulative distribution function P(x) for a Rayleigh distribution with scale parameter σ
rayleighQ(x,σ)	cumulative distribution function Q(x) for a Rayleigh distribution with scale parameter σ
rayleighPinv(P,σ)	inverse cumulative distribution function P(x) for a Rayleigh distribution with scale parameter σ
rayleighQinv(Q,σ)	inverse cumulative distribution function Q(x) for a Rayleigh distribution with scale parameter σ
rayleigh_tail(x,a,σ)	probability density p(x) for a Rayleigh tail distribution with scale parameter σ and lower limit a
landau(x)	probability density p(x) for the Landau distribution
gammapdf(x,a,b)	probability density p(x) for a gamma distribution with parameters a and b
gammaP(x,a,b)	cumulative distribution function P(x) for a gamma distribution with parameters a and b
gammaQ(x,a,b)	cumulative distribution function Q(x) for a gamma distribution with parameters a and b
gammaPinv(P,a,b)	inverse cumulative distribution function P(x) for a gamma distribution with parameters a and b
gammaQinv(Q,a,b)	inverse cumulative distribution function Q(x) for a gamma distribution with parameters a and b
flat(x,a,b)	probability density p(x) for a uniform distribution from a to b
flatP(x,a,b)	cumulative distribution function P(x) for a uniform distribution from a to b
flatQ(x,a,b)	cumulative distribution function Q(x) for a uniform distribution from a to b
flatPinv(P,a,b)	inverse cumulative distribution function P(x) for a uniform distribution from a to b
flatQinv(Q,a,b)	inverse cumulative distribution function Q(x) for a uniform distribution from a to b
lognormal(x,ζ,σ)	probability density p(x) for a lognormal distribution with parameters ζ and σ
lognormalP(x,ζ,σ)	cumulative distribution function P(x) for a lognormal distribution with parameters ζ and σ
lognormalQ(x,ζ,σ)	cumulative distribution function Q(x) for a lognormal distribution with parameters ζ and σ
lognormalPinv(P,ζ,σ)	inverse cumulative distribution function P(x) for a lognormal distribution with parameters ζ and σ
lognormalQinv(Q,ζ,σ)	inverse cumulative distribution function Q(x) for a lognormal distribution with parameters ζ and σ
chisq(x,ν)	probability density p(x) for a χ2 distribution with ν degrees of freedom
chisqP(x,ν)	cumulative distribution function P(x) for a χ2 distribution with ν degrees of freedom
chisqQ(x,ν)	cumulative distribution function Q(x) for a χ2 distribution with ν degrees of freedom
chisqPinv(P,ν)	inverse cumulative distribution function P(x) for a χ2 distribution with ν degrees of freedom
chisqQinv(Q,ν)	inverse cumulative distribution function Q(x) for a χ2 distribution with ν degrees of freedom
fdist(x,ν1,ν2)	probability density p(x) for an F-distribution with ν1 and ν2 degrees of freedom
fdistP(x,ν1,ν2)	cumulative distribution function P(x) for an F-distribution with ν1 and ν2 degrees of freedom
fdistQ(x,ν1,ν2)	cumulative distribution function Q(x) for an F-distribution with ν1 and ν2 degrees of freedom
fdistPinv(P,ν1,ν2)	inverse cumulative distribution function P(x) for an F-distribution with ν1 and ν2 degrees of freedom
fdistQinv(Q,ν1,ν2)	inverse cumulative distribution function Q(x) for an F-distribution with ν1 and ν2 degrees of freedom
tdist(x,ν)	probability density p(x) for a t-distribution with ν degrees of freedom
tdistP(x,ν)	cumulative distribution function P(x) for a t-distribution with ν degrees of freedom
tdistQ(x,ν)	cumulative distribution function Q(x) for a t-distribution with ν degrees of freedom
tdistPinv(P,ν)	inverse cumulative distribution function P(x) for a t-distribution with ν degrees of freedom
tdistQinv(Q,ν)	inverse cumulative distribution function Q(x) for a t-distribution with ν degrees of freedom
betapdf(x,a,b)	probability density p(x) for a beta distribution with parameters a and b
betaP(x,a,b)	cumulative distribution function P(x) for a beta distribution with parameters a and b
betaQ(x,a,b)	cumulative distribution function Q(x) for a beta distribution with parameters a and b
betaPinv(P,a,b)	inverse cumulative distribution function P(x) for a beta distribution with parameters a and b
betaQinv(Q,a,b)	inverse cumulative distribution function Q(x) for a beta distribution with parameters a and b
logistic(x,a)	probability density p(x) for a logistic distribution with scale parameter a
logisticP(x,a)	cumulative distribution function P(x) for a logistic distribution with scale parameter a
logisticQ(x,a)	cumulative distribution function Q(x) for a logistic distribution with scale parameter a
logisticPinv(P,a)	inverse cumulative distribution function P(x) for a logistic distribution with scale parameter a
logisticQinv(Q,a)	inverse cumulative distribution function Q(x) for a logistic distribution with scale parameter a
pareto(x,a,b)	probability density p(x) for a Pareto distribution with exponent a and scale b
paretoP(x,a,b)	cumulative distribution function P(x) for a Pareto distribution with exponent a and scale b
paretoQ(x,a,b)	cumulative distribution function Q(x) for a Pareto distribution with exponent a and scale b
paretoPinv(P,a,b)	inverse cumulative distribution function P(x) for a Pareto distribution with exponent a and scale b
paretoQinv(Q,a,b)	inverse cumulative distribution function Q(x) for a Pareto distribution with exponent a and scale b
weibull(x,a,b)	probability density p(x) for a Weibull distribution with scale a and exponent b
weibullP(x,a,b)	cumulative distribution function P(x) for a Weibull distribution with scale a and exponent b
weibullQ(x,a,b)	cumulative distribution function Q(x) for a Weibull distribution with scale a and exponent b
weibullPinv(P,a,b)	inverse cumulative distribution function P(x) for a Weibull distribution with scale a and exponent b
weibullQinv(Q,a,b)	inverse cumulative distribution function Q(x) for a Weibull distribution with scale a and exponent b
gumbel1(x,a,b)	probability density p(x) for a Type-1 Gumbel distribution with parameters a and b
gumbel1P(x,a,b)	cumulative distribution function P(x) for a Type-1 Gumbel distribution with parameters a and b
gumbel1Q(x,a,b)	cumulative distribution function Q(x) for a Type-1 Gumbel distribution with parameters a and b
gumbel1Pinv(P,a,b)	inverse cumulative distribution function P(x) for a Type-1 Gumbel distribution with parameters a and b
gumbel1Qinv(Q,a,b)	inverse cumulative distribution function Q(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
gumbel2P(x,a,b)	cumulative distribution function P(x) for a Type-2 Gumbel distribution with parameters a and b
gumbel2Q(x,a,b)	cumulative distribution function Q(x) for a Type-2 Gumbel distribution with parameters a and b
gumbel2Pinv(P,a,b)	inverse cumulative distribution function P(x) for a Type-2 Gumbel distribution with parameters a and b
gumbel2Qinv(Q,a,b)	inverse cumulative distribution function Q(x) for a Type-2 Gumbel distribution with parameters a and b
poisson(k,μ)	probability p(k) of obtaining k from a Poisson distribution with mean μ
poissonP(k,μ)	cumulative distribution functions P(k) for a Poisson distribution with mean μ
poissonQ(k,μ)	cumulative distribution functions Q(k) for a Poisson distribution with mean μ
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 p from a binomial distribution with parameters p and n
binomialP(k,p,n)	cumulative distribution functions P(k) for a binomial distribution with parameters p and n
binomialQ(k,p,n)	cumulative distribution functions Q(k) for a binomial distribution with parameters p and n
nbinomial(k,p,n)	probability p(k) of obtaining k from a negative binomial distribution with parameters p and n
nbinomialP(k,p,n)	cumulative distribution functions P(k) for a negative binomial distribution with parameters p and n
nbinomialQ(k,p,n)	cumulative distribution functions Q(k) for 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
pascalP(k,p,n)	cumulative distribution functions P(k) for a Pascal distribution with parameters p and n
pascalQ(k,p,n)	cumulative distribution functions Q(k) for 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
geometricP(k,p)	cumulative distribution functions P(k) for a geometric distribution with parameter p
geometricQ(k,p)	cumulative distribution functions Q(k) for a geometric distribution with parameter p
hypergeometric(k,n1,n2,t)	probability p(k) of obtaining k from a hypergeometric distribution with parameters n1, n2, t
hypergeometricP(k,n1,n2,t)	cumulative distribution function P(k) for a hypergeometric distribution with parameters n1, n2, t
hypergeometricQ(k,n1,n2,t)	cumulative distribution function Q(k) for a hypergeometric distribution with parameters n1, n2, t
logarithmic(k,p)	probability p(k) of obtaining K from a logarithmic distribution with probability parameter p

Constants
Constant	Description
e	The base of natural logarithms
pi	π

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
h	The Planck constant h
hbar	The reduced Planck constant ℏ
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
sigma	The Stefan–Boltzmann constant
gauss	The magnetic field of 1 Gauss
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
gg	The standard gravitational acceleration on Earth
ms	The mass of the Sun
ee	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
sigmaT	The Thomson cross section for an electron
pD	The debye
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
mil	The length of 1 mil (1/1000th of an inch)
v_km_per_h	The speed of 1 kilometer per hour
v_mile_per_h	The speed of 1 mile per hour
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)
micron	The length of 1 micrometre
hectare	The area of 1 hectare
acre	The area of 1 acre
liter	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
N	The force of 1 newton
dyne	The force of 1 dyne
J	The energy of 1 joule
erg	The energy of 1 erg