14 citations · 44 across the 24 of their papers we have counts for
4 papers · 1 filter
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…
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…
Composition and decomposition of indestructible Blaschke products
Daniela Kraus, Oliver Roth
We prove that the composition of two indestructible Blaschke products is again an indestructible Blaschke product. We also show that if an indestructible Blaschke product is the co…
Maximal Blaschke Products
Daniela Kraus, Oliver Roth
We consider the classical problem of maximizing the derivative at a fixed point over the set of all bounded analytic functions in the unit disk with prescribed critical points. We…