Curvature and Functions with Bounded Boundary Rotation.
Differential subordination and meromorphic functions
Dirichlet's Principle, Uniqueness of Harmonic Maps and Extremal QC Mappings
Erratum to “Tchebotaröv’s extremal problem”
The original version of the article was published in Central European Journal of Mathematics, 2005, 3(4), 591–605. Unfortunately, the original version of this article contains a mistake. We give some corrections to our work.
Extremal problems in some class of regular functions defined in the unit circle and applications
Extremal problems in some classes of univalent functions in a half-plane
Finite distortion functions and Douglas-Dirichlet functionals
In this paper, we estimate the Douglas-Dirichlet functionals of harmonic mappings, namely Euclidean harmonic mapping and flat harmonic mapping, by using the extremal dilatation of finite distortion functions with given boundary value on the unit circle. In addition, -Dirichlet functionals of harmonic mappings are also investigated.
Fonctions algébriques de Grunsky-Shah
Funktionalabschätzungen bei quasikonformen Abbildungen mit Fredholmschen Eigenwerten.
Generalized condensers and conformal properties of riemannian manifolds with at least two ends
Geometrisch-funktionentheoretische Lösung eines Extremalproblems der konformen Abbildung. III.
Les inégalités du type de Grunsky pour les fonctions de la classe K
Linearly-invariant families and generalized Meixner–Pollaczek polynomials
The extremal functions f0(z) realizing the maxima of some functionals (e.g. max |a3|, and max arg f′(z)) within the so-called universal linearly invariant family Uα (in the sense of Pommerenke [10]) have such a form that f′0(z) looks similar to generating function for Meixner-Pollaczek (MP) polynomials [2], [8]. This fact gives motivation for the definition and study of the generalized Meixner-Pollaczek (GMP) polynomials Pλn (x; θ,ψ) of a real variable x as coefficients of [###] where the parameters...
Loewner-type approximations for convex functions
Non-uniqueness of geodesics in infinite-dimensional Teichmüller spaces. II.
Nonvanishing Univalent Functions.
Numerische Ermittlung quasikonformer Abbildungen mit finiten Elementen.
On a Mocanu type generalization of the Kaplan class K(α, β) of analytic functions
On an extremal problem
Let denote the class of functions univalent and holomorphic in the unit disc . In the paper we obtain a sharp estimate of the functional in the class for an arbitrary .
On certain classes of analytic functions