FloatLiouvilianFunctions

special2.spad line 642 [edit on github]

This package implements numerical evaluation for selected liouvilian functions.

Chi : Complex(Float) -> Complex(Float)

Chi(f) denotes the hyperbolic cosine integral

Chi : Float -> Float

Chi(f) denotes the hyperbolic cosine integral

Ci : Complex(Float) -> Complex(Float)

Ci(f) denotes the cosine integral

Ci : Float -> Float

Ci(f) denotes the cosine integral

Ei : Complex(Float) -> Complex(Float)

Ei(f) denotes the exponential integral

Ei : Float -> Float

Ei(f) denotes the exponential integral

Shi : Complex(Float) -> Complex(Float)

Shi(f) denotes the hyperbolic sine integral

Shi : Float -> Float

Shi(f) denotes the hyperbolic sine integral

Si : Complex(Float) -> Complex(Float)

Si(f) denotes the sine integral

Si : Float -> Float

Si(f) denotes the sine integral

erf : Complex(Float) -> Complex(Float)

erf(f) denotes the error function

erf : Float -> Float

erf(f) denotes the error function

erfi : Complex(Float) -> Complex(Float)

erfi(f) denotes -%i*erf(%i*f)

erfi : Float -> Float

erfi(f) denotes -%i*erf(%i*f)

fresnelC : Complex(Float) -> Complex(Float)

fresnelC(f) denotes the Fresnel integral C

fresnelC : Float -> Float

fresnelC(f) denotes the Fresnel integral C

fresnelS : Complex(Float) -> Complex(Float)

fresnelS(f) denotes the Fresnel integral S

fresnelS : Float -> Float

fresnelS(f) denotes the Fresnel integral S

gamma : () -> Complex(Float)

gamma() is the Euler constant

li : Complex(Float) -> Complex(Float)

li(f) denotes the logarithmic integral

li : Float -> Float

li(f) denotes the logarithmic integral