LiouvillianFunctionCategoryΒΆ

trigcat.spad line 178

Category for the transcendental Liouvillian functions.

^: (%, %) -> %
from ElementaryFunctionCategory
acos: % -> %
from ArcTrigonometricFunctionCategory
acosh: % -> %
from ArcHyperbolicFunctionCategory
acot: % -> %
from ArcTrigonometricFunctionCategory
acoth: % -> %
from ArcHyperbolicFunctionCategory
acsc: % -> %
from ArcTrigonometricFunctionCategory
acsch: % -> %
from ArcHyperbolicFunctionCategory
asec: % -> %
from ArcTrigonometricFunctionCategory
asech: % -> %
from ArcHyperbolicFunctionCategory
asin: % -> %
from ArcTrigonometricFunctionCategory
asinh: % -> %
from ArcHyperbolicFunctionCategory
atan: % -> %
from ArcTrigonometricFunctionCategory
atanh: % -> %
from ArcHyperbolicFunctionCategory
Chi: % -> %
Chi(x) returns the hyperbolic cosine integral of x, i.e. the integral of cosh(x) / x dx.
Ci: % -> %
Ci(x) returns the cosine integral of x, i.e. the integral of cos(x) / x dx.
cos: % -> %
from TrigonometricFunctionCategory
cosh: % -> %
from HyperbolicFunctionCategory
cot: % -> %
from TrigonometricFunctionCategory
coth: % -> %
from HyperbolicFunctionCategory
csc: % -> %
from TrigonometricFunctionCategory
csch: % -> %
from HyperbolicFunctionCategory
dilog: % -> %
dilog(x) returns the dilogarithm of x, i.e. the integral of log(x) / (1 - x) dx.
Ei: % -> %
Ei(x) returns the exponential integral of x, i.e. the integral of exp(x)/x dx.
erf: % -> %
erf(x) returns the error function of x, i.e. 2 / sqrt(\%pi) times the integral of exp(-x^2) dx.
erfi: % -> %
erfi(x) denotes -\%i*erf(\%i*x)
exp: % -> %
from ElementaryFunctionCategory
fresnelC: % -> %
fresnelC is the Fresnel integral C, defined by C(x) = integrate(cos(\%pi*t^2/2), t=0..x)
fresnelS: % -> %
fresnelS is the Fresnel integral S, defined by S(x) = integrate(sin(\%pi*t^2/2), t=0..x)
integral: (%, SegmentBinding %) -> %
from PrimitiveFunctionCategory
integral: (%, Symbol) -> %
from PrimitiveFunctionCategory
li: % -> %
li(x) returns the logarithmic integral of x, i.e. the integral of dx / log(x).
log: % -> %
from ElementaryFunctionCategory
pi: () -> %
from TranscendentalFunctionCategory
sec: % -> %
from TrigonometricFunctionCategory
sech: % -> %
from HyperbolicFunctionCategory
Shi: % -> %
Shi(x) returns the hyperbolic sine integral of x, i.e. the integral of sinh(x) / x dx.
Si: % -> %
Si(x) returns the sine integral of x, i.e. the integral of sin(x) / x dx.
sin: % -> %
from TrigonometricFunctionCategory
sinh: % -> %
from HyperbolicFunctionCategory
tan: % -> %
from TrigonometricFunctionCategory
tanh: % -> %
from HyperbolicFunctionCategory

ArcHyperbolicFunctionCategory

ArcTrigonometricFunctionCategory

ElementaryFunctionCategory

HyperbolicFunctionCategory

PrimitiveFunctionCategory

TranscendentalFunctionCategory

TrigonometricFunctionCategory