Complex Function Viewer (Confo

Enter any equation of variable z and produce a complex function graph (conformal map) generated with domain coloring right on your device!

Notable features include:

▶ Extensive and easy-to-use touch interface.

▶ Over 50 mathematical functions, including special functions like gamma, iterated functions, lambert-W, and Riemann-zeta.

▶ Images on the complex plane (conformal mapping of images).

▶ Contour integration (drag a path), derivatives, and function values.

▶ Save, load, export, and import your favorite equations.

▶ Save images, view your saved images, and later load the specific equation and bounds back into the app for more exploration.

▶ Many customizable settings.

▶ A tutorial to familiarize you with the app and example equations.

▶ Complete documentation within the app available through the "about" menu.

▶ Easily give feedback.

▶ Useful for complex analysis.

Supported math functions and constants:

(u and v represent arbitrary functions of z)

Arithmetic:

▶ Addition: u + v

▶ Subtraction: u - v

▶ Multiplication: u*v

▶ Division: u/v

▶ Negation: -u

Exponentials/logarithms:

▶ Exponentiation: u^v or u**v or pow(u, v)

▶ Square root: sqrt(u) or √(u)

▶ Natural exponentiation (of base e): exp(u)

▶ Natural logarithm (of base e): ln(u) or log(u)

▶ Branched natural logarithm (of base e): ln(u, branch)

▶ Based logarithm: log(u, base)

▶ Branched and based logarithm: log(u, base, branch)

▶ Lambert-W function: W(u) or lambertW(u)

▶ Branched Lambert-W: W(u, branch) or lambertW(u, branch)

▶ Super square root (inverse of u^u): ssqrt(u)

Trigonometric functions:

▶ Sine: sin(u)

▶ Cosine: cos(u)

▶ Tangent: tan(u)

▶ Cosecant: csc(u)

▶ Secant: sec(u)

▶ Cotangent: cot(u)

Inverse trigonometric functions:

▶ Inverse sine: asin(u)

▶ Inverse cosine: acos(u)

▶ Inverse tangent: atan(u)

▶ Inverse cosecant: acsc(u)

▶ Inverse secant: asec(u)

▶ Inverse cotangent: acot(u)

Hyperbolic trig functions:

▶ Hyperbolic sine: sinh(u)

▶ Hyperbolic cosine: cosh(u)

▶ Hyperbolic tangent: tanh(u)

▶ Hyperbolic cosecant: csch(u)

▶ Hyperbolic secant: sech(u)

▶ Hyperbolic cotangent: coth(u)

Inverse hyperbolic trig functions:

▶ Inverse hyperbolic sine: asinh(u)

▶ Inverse hyperbolic cosine: acosh(u)

▶ Inverse hyperbolic tangent: atanh(u)

▶ Inverse hyperbolic cosecant: acsch(u)

▶ Inverse hyperbolic secant: asech(u)

▶ Inverse hyperbolic cotangent: acoth(u)

Special functions:

▶ Lambert-W function: W(u) or lambertW(u)

▶ Branched Lambert-W: W(u, branch) or lambertW(u, branch)

▶ Super square root (inverse of u^u): ssqrt(u)

▶ Gamma function: gamma(u) or Γ(u)

▶ Factorial function: u!

▶ Binomial function: bin(u, v) or binomial(u, v)

▶ Error function (coming soon): erf(u)

▶ Riemann-zeta function: zeta(u)

▶ Riemann-xi function: xi(u)

Comparisons:

▶ Equal: u == v

▶ Not equal: u != v

▶ Less: u < v

▶ Greater: u > v

▶ Less or equal: u = v

Logical operators:

▶ And: u & v

▶ Or: u | v

▶ Not: ~u

Auxiliary functions:

▶ Absolute value: abs(u)

▶ Complex argument: arg(u)

▶ Real part: x or re(u)

▶ Imaginary part: y or im(u)

▶ Complex conjugate: conj(u)

▶ Ceiling: ceil(u)

▶ Floor: floor(u)

▶ Minimum: min(u, v)

▶ Maximum: max(u, v)

Random functions:

▶ Random number in range: rand(min, max)

Constants:

▶ Imaginary unit: i or j = sqrt(-1)

▶ Euler's Number: e = 2.718281828…

▶ Pi: pi or π = 3.1415926535…

▶ Golden ratio: phi = (1 + sqrt(5))/2 = 1.6180339887…

Branch functions:

▶ If statement

▶ If-else statment

Definitions:

▶ Define your own variables

▶ Redefine your own variables

Iterated functions:

▶ Iterated function

▶ Summation

▶ Product