Complex Function Viewer (Confo

Features 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: -uExponentials/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▶ Greater or equal: u >= vLogical operators:▶ And: u & v▶ Or: u | v▶ Not: ~uAuxiliary 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)▶ Eulers 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 statmentDefinitions:▶ Define your own variables▶ Redefine your own variablesIterated functions:▶ Iterated function▶ Summation▶ Product