FloatSpecialFunctions

special2.spad line 1 [edit on github]

This package implements numerical evaluation of several special functions.

Beta: (Complex Float, Complex Float) -> Complex Float

Beta(x, y) is the Euler Beta function.

Beta: (Float, Float) -> Float

Beta(x, y) is the Euler Beta function.

digamma: Complex Float -> Complex Float

digamma(z) is the logarithmic derivative of Gamma(x).

digamma: Float -> Float

digamma(z) is the logarithmic derivative of Gamma(x).

dilog: Complex Float -> Complex Float

dilog(z) is the dilogarithm

Gamma: Complex Float -> Complex Float

Gamma(x) is the Euler Gamma function.

Gamma: Float -> Float

Gamma(x) is the Euler Gamma function.

lambert_inverse_series: (Complex DoubleFloat, Complex DoubleFloat) -> Complex DoubleFloat

Undocumented

lambert_inverse_series: (Complex Float, Complex Float) -> Complex Float

Undocumented

lambert_inverse_series: (DoubleFloat, DoubleFloat) -> DoubleFloat

Undocumented

lambert_inverse_series: (Float, Float) -> Float

Undocumented

lambert_via_newton1: (Complex DoubleFloat, Complex DoubleFloat, DoubleFloat) -> Complex DoubleFloat

Undocumented

lambert_via_newton1: (Complex Float, Complex Float, Float) -> Complex Float

Undocumented

lambert_via_newton1: (DoubleFloat, DoubleFloat, DoubleFloat) -> DoubleFloat

Undocumented

lambert_via_newton1: (Float, Float, Float) -> Float

Undocumented

lambert_via_newton2: (Complex DoubleFloat, Complex DoubleFloat, DoubleFloat) -> Complex DoubleFloat

Undocumented

lambert_via_newton2: (Complex Float, Complex Float, Float) -> Complex Float

Undocumented

lambert_via_newton2: (DoubleFloat, DoubleFloat, DoubleFloat) -> DoubleFloat

Undocumented

lambert_via_newton2: (Float, Float, Float) -> Float

Undocumented

lambertW: Complex DoubleFloat -> Complex DoubleFloat

lambertW(x) is the Lambert W function.

lambertW: Complex Float -> Complex Float

lambertW(x) is the Lambert W function.

lambertW: DoubleFloat -> DoubleFloat

lambertW(x) is the Lambert W function.

lambertW: Float -> Float

lambertW(x) is the Lambert W function.

li2: Complex Float -> Complex Float

li2(z) is polylog(2, z)

logGamma: Complex Float -> Complex Float

logGamma(x) is the natural log of Gamma(x).

logGamma: Float -> Float

logGamma(x) is the natural log of Gamma(x).

rabs: Complex DoubleFloat -> DoubleFloat

Undocumented

rabs: Complex Float -> Float

Undocumented

rabs: DoubleFloat -> DoubleFloat

Undocumented

rabs: Float -> Float

Undocumented

riemannZeta: Complex Float -> Complex Float

riemannZeta(z) is the Riemann Zeta function.