Newbetuts
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New posts in mobius-transformation
Combinatorial interpretation of the identity $(f \circ f \circ f)(x) = x$ where $f(x) = 1/(1-x)$ for $x\in(-1,1)$
combinatorics
complex-analysis
generating-functions
mobius-transformation
Automorphisms of punctured plane
complex-analysis
geometry
complex-numbers
conformal-geometry
mobius-transformation
Characterizing all mobius transformations from unit disk to itself.
complex-analysis
conformal-geometry
mobius-transformation
Find a Möbius transformation such that a semi-circle in the upper half plane is mapped to $i\mathbb{R}_{>0}$
complex-analysis
hyperbolic-geometry
mobius-transformation
Projectivization and stereographic projection, or: Why nonlinear + nonlinear = linear?
lie-groups
projective-geometry
mobius-transformation
stereographic-projections
exceptional-isomorphisms
Möbius transformation with infinity in both the $w$-plane and $z$-plane.
mobius-transformation
Mobius transform and defining an hyperbolic angle
abstract-algebra
matrices
inner-products
mobius-transformation
Conformal automorphism of unit disk that interchanges two given points
complex-analysis
conformal-geometry
mobius-transformation
automorphism-group
Showing that two circles in w-plane tangent each other if there is a Möbius transformation that takes them to two parallel lines
complex-analysis
mobius-transformation
Complex modulus of $\left|\frac{-3z+2i}{2iz+1}\right|$ given that $\left|z\right|=\frac{1}{\sqrt3}$
complex-analysis
complex-numbers
mobius-transformation
Find a conformal mapping from the quarter-disk $Q=\{ |z|<1 : rez>0,im z>0 \}$ onto the upper half plane set $U=\{im z>0\}$
complex-analysis
conformal-geometry
mobius-transformation
Bounding the derivative of a holomorphic function at the origin.
complex-analysis
analytic-functions
mobius-transformation
what is the mobius transformation that maps a circle with center $z_0$ and radius $R$ to the unit circle?
complex-analysis
geometry
mobius-transformation
mobius-function
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