Functions

Argument (z)

Aliases: Arg arg

argument (angle) of complex number

DirichletKernel (n,t)

Dirichlet kernel of order n

DiscreteDelta (v)

Returns 1 iff 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.

KroneckerDelta (v)

Returns 1 iff 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)

UnitStep (x)

The unit step function is 0 for x<0, 1 otherwise. This is the integral of the Dirac Delta function.

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