Conformal Maps Gallery

Mobius Transformations


Complex Inversion

Mobius Transformation

(z+c)/(1/conj(c)*z)

Algebraic Functions

(Polynomials, Rationals, and their inverses)


squaring

a*z^b+b*z

z + 1/z

square root

Elementary Transcendental Functions


log

sin
i*tan(i*z/2)
Exponential: z →e^z

Elliptic Functions


JD

JE

JF

WP

JacobiSn

Non-Conformal Example


z → conj(z) + a*z^2

About Conformal Maps

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