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math.CV2013★ 6 cited
Constant Coefficients in the Radial Komatu-Loewner Equation for Multiple Slits
Christoph Böhm, Sebastian Schleißinger
The radial Komatu-Loewner equation is a differential equation for certain normalized conformal mappings that can be used to describe the growth of slits within multiply connected d…
math.CV2013
Rogosinski's lemma for univalent functions, hyperbolic Archimedean spirals and the Loewner equation
Oliver Roth, Sebastian Schleißinger
We describe the region of values of for all normalized bounded univalent functions in the unit disk at a fixed point $z_0 \in \mathbb{D…
math.CV2013
The Schramm-Loewner equation for multiple slits
Oliver Roth, Sebastian Schleißinger
We prove that any disjoint union of finitely many simple curves in the upper half-plane can be generated in a unique way by the chordal multiple-slit Loewner equation with constant…