LiouvillianFunction(R, F)ΒΆ

liouv.spad line 1

This package provides liouvillian functions over an integral domain.

belong?: BasicOperator -> Boolean
belong?(op) checks if op is Liouvillian
Chi: F -> F
Chi(f) denotes the hyperbolic cosine integral
Ci: F -> F
Ci(f) denotes the cosine integral
dilog: F -> F
dilog(f) denotes the dilogarithm
Ei: F -> F
Ei(f) denotes the exponential integral
erf: F -> F
erf(f) denotes the error function
erfi: F -> F
erfi(f) denotes -\%i*erf(\%i*z)
fresnelC: F -> F
fresnelC(f) denotes the Fresnel integral C
fresnelS: F -> F
fresnelS(f) denotes the Fresnel integral S
integral: (F, SegmentBinding F) -> F
integral(f, x = a..b) denotes the definite integral of f with respect to x from a to b.
integral: (F, Symbol) -> F
integral(f, x) indefinite integral of f with respect to x.
li: F -> F
li(f) denotes the logarithmic integral
operator: BasicOperator -> BasicOperator
operator(op) returns the Liouvillian operator based on op
Shi: F -> F
Shi(f) denotes the hyperbolic sine integral
Si: F -> F
Si(f) denotes the sine integral