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Some Results on Maps That Factor through a Tree

Roger Züst (2015)

Analysis and Geometry in Metric Spaces

We give a necessary and sufficient condition for a map deffned on a simply-connected quasi-convex metric space to factor through a tree. In case the target is the Euclidean plane and the map is Hölder continuous with exponent bigger than 1/2, such maps can be characterized by the vanishing of some integrals over winding number functions. This in particular shows that if the target is the Heisenberg group equipped with the Carnot-Carathéodory metric and the Hölder exponent of the map is bigger than...

Some results on the growth properties of Wronskians

Sanjib Kumar Datta, Arindam Jha (2009)

Archivum Mathematicum

The aim of this paper paper is to study the comparative growth properties of the composition of entire and meromorphic functions and wronskians generated by them improving some earlier results.

Some Results on the Properties of Differential Polynomials Generated by Solutionsof Complex Differential Equations

Zinelâabidine LATREUCH, Benharrat BELAÏDI (2015)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

This paper is devoted to considering the complex oscillation of differential polynomials generated by meromorphic solutions of the differential equation f ( k ) + A k - 1 ( z ) f ( k - 1 ) + + A 1 ( z ) f ' + A 0 ( z ) f = 0 , where A i ( z ) ( i = 0 , 1 ...

Currently displaying 241 – 260 of 561