Genius Manual | ||
---|---|---|
<<< Previous | List of GEL functions | Next >>> |
Argument (z) |
Aliases: Arg arg
argument (angle) of complex number.
DirichletKernel (n,t) |
Dirichlet kernel of order n.
DiscreteDelta (v) |
Returns 1 if and only if all elements are zero.
ErrorFunction (x) |
Aliases: erf
The error function, 2/sqrt(pi) * int_0^x e^(-t^2) dt.
See Planetmath for more information.
FejerKernel (n,t) |
Fejer kernel of order n
evaluated at
t
See Planetmath for more information.
GammaFunction (x) |
Aliases: Gamma
The Gamma function. Currently only implemented for real values.
See Planetmath for more information.
KroneckerDelta (v) |
Returns 1 if and only if all elements are equal.
MinimizeFunction (func,x,incr) |
Find the first value where f(x)=0.
MoebiusDiskMapping (a,z) |
Moebius mapping of the disk to itself mapping a to 0.
See Planetmath for more information.
MoebiusMapping (z,z2,z3,z4) |
Moebius mapping using the cross ratio taking z2,z3,z4 to 1,0, and infinity respectively.
See Planetmath for more information.
MoebiusMappingInftyToInfty (z,z2,z3) |
Moebius mapping using the cross ratio taking infinity to infinity and z2,z3 to 1 and 0 respectively.
See Planetmath for more information.
MoebiusMappingInftyToOne (z,z3,z4) |
Moebius mapping using the cross ratio taking infinity to 1 and z3,z4 to 0 and infinity respectively.
See Planetmath for more information.
MoebiusMappingInftyToZero (z,z2,z4) |
Moebius mapping using the cross ratio taking infinity to 0 and z2,z4 to 1 and infinity respectively.
See Planetmath for more information.
PoissonKernel (r,sigma) |
Poisson kernel on D(0,1) (not normalized to 1, that is integral of this is 2pi).
PoissonKernelRadius (r,sigma) |
Poisson kernel on D(0,R) (not normalized to 1).
RiemannZeta (x) |
Aliases: zeta
The Riemann zeta function. Currently only implemented for real values.
See Planetmath for more information.
UnitStep (x) |
The unit step function is 0 for x<0, 1 otherwise. This is the integral of the Dirac Delta function. Also called the Heaviside function.
See Wikipedia for more information.
cis (x) |
The cis function, that is the same as cos(x)+1i*sin(x)
deg2rad (x) |
Convert degrees to radians.
rad2deg (x) |
Convert radians to degrees.
<<< Previous | Home | Next >>> |
Calculus | Up | Equation Solving |