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The Function Blog section is a way to show generation functions in a more unstructured way.

Function Blog

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defined functions:

j(z) = conjugate(z) := z.im = -z.im;

z1z(z) := z + 1/z

z1z(z,c) := z + 1/z + c

z1z2(z) := z^2 + 1/z^2

z1z2(z,c) := z^2 + 1/z^2 + c

z1z3(z) := z^3 + 1/z^3

z1z3(z,c) := z^3 + 1/z^3 + c

zc1zc(z,c) := z*c + 1/z*c

zc2zc(z,c) := z^2*c^2 + 1/(z^2*c^2)

zc3zc(z,c) := z^3*c^3 + 1/(z^3*c^3)

iz1z(z) = inversez1z(z) := 0.5(z + sqrt(z^2 - 4))

iz1z(z,c) = inversez1z(z,c)) := 0.5(z + sqrt(z^2 - 4)) + c

izc1zc(z,c) = inversezc1zc(z,c)) := (c*z - c*sqrt(z^2-4)) / (2*c^2)

mabrot(z,c) := z^2 + c

mabrot(z) := z^2

bead(z,c) := z + 1/z + c

bead(z) := z + 1/z

nova(z,c) := 0.8(z + 1/z) + c

nova(z) := 0.8(z + 1/z)

amoeba(z,c) := -0.8(z + 1/z) + c

amoeba(z) := -0.8(z + 1/z)

logistic(z,c) := c*z(1-z)

dferguson(z,c) := 0.05z^2 - 0.05/z^2 + z + c

dferguson(z) := 0.05z^2 - 0.05/z^2 + z

zatanz(z,c) := z*atan(z) + c

zatanz(z) := z*atan(z)

zloglog1z(z,c) := z*log(log(1/z)) + c

zloglog1z(z) := z*log(log(1/z))

zpz(z) := z^z

zpz(z,c) := z^z + c

zpmz(z) := z^-z

zpmz(z,c) := z^-z + c

zpz2(z) := z^(z^2)

zpz2(z,c) := z^(z^2) + c

zpmz2(z) := z^(-z^2)

zpmz2(z,c) := z^(-z^2) + c

expzc(z,c) := z*exp(z+c)

gam(z) := gamma(z) Gamma Function

loggam(z) := log(gam(z))

psi(z) := Digamma Function or Psi Function

stir(z) := Stirling Function, approximates the Gamma Function

logstir(z) := log(stir(z))

fad(z) := Faddeeva Function

logfad(z) := log(fad(z))

beta(z,c) := Beta Function

logbeta(z,c) := log(beta)

dxbeta(z,c) := derivation d/dz of Beta Function

logdxbeta(z,c) := logdx(beta)

erf(z) := Error Function

erfc(z) := complementary Error Function

erfi(z) := rotated Error Function

erfcx(z) := underflow-compensated complementary Error Function

dawson(z) := Dawson Function