A survey of a selection of methods for determination of Koebe sets
Journal Title: Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica - Year 2017, Vol 71, Issue 2
Abstract
In this article we take over methods for determination of Koebe set based on extremal sets for a given class of functions.
Authors and Affiliations
Magdalena Gregorczyk, L. KOCZAN
The density Turan problem for 3-uniform linear hypertrees. An efficient testing algorithm
Let T = (V, E) be a 3-uniform linear hypertree. We consider a blow-up hypergraph B[T ]. We are interested in the following problem. We have to decide whether there exists a blow-up hypergraph B[T ] of the hypertree T , w...
Convolution conditions for bounded α-starlike functions of complex order
Let A be the class of analytic functions in the unit disc U of the complex plane C with the normalization f(0)=f′(0)−1=0. We introduce a subclass S∗M(α,b) of A, which unifies the classes of bounded starlike and convex fu...
The constructions of general connections on the fibred product of q copies of the first jet prolongation
We describe all natural operators A transforming general connections Gamma on fibred manifolds Y -> M and torsion-free classical linear connections Gamma on M into general connections A(Gamma, Lambda) on the fibred produ...
On generalized Mersenne numbers, their interpretations and matrix generators
In this paper we introduce generalized Mersenne numbers. We shall present some of their interpretations and matrix generators which are very useful for determining identities.
Note about sequences of extrema (A,2B)-edge coloured trees
In this paper we determine successive extremal trees with respect to the number of all (A,2B)-edge colourings.