Functions of bounded characteristic with prescribed ambiguous points.

On Graphs with Characteristic Bounded-Width Functions

Graphs can be represented symbolically by the Ordered Binary Decision Diagram (OBDD) of their characteristic Boolean function. The latter is said to have bounded width b if its minimal-size complete OBDD has bounded width b. Bounded-width functions have small OBDDs and allow efficient functional operations. Therefore, they are of interest in the analysis of symbolic graph algorithms. In this pa...

On Meromorphic Functions of Bounded Characteristic

Continuity Points of Typical Bounded Functions

The study of typical continuous functions has been one of the most popular topics in classical real analysis. Several people have also investigated typical behaviour in other families of functions, such as those of bounded functions of Baire class 1, of bounded Darboux functions of Baire class 1, and of bounded derivatives, where the topology is given by the supremum norm. Kostyrko and Šalát [2...

Some Unsolved Problems on Meromorphic Functions of Uniformly Bounded Characteristic

The family UBC(R) of meromorphic functions of uniformly bounded characteristic in a Rieman surface R is defined in terms of the Shimizu-Ahlfors characteristic function. There are some natural parallels between UBC(R) and BMOA(R), the fsmily of holomorr.hc f11nctonz of bounded mesn oscilltion in R. After a survey some open problems are proposed in contrast with BMOA(R).

Functions of Uniformly Bounded Characteristic on Riemann Surfaces

A characteristic function T(D, w, f) of Shimizu and Ahlfors type for a function / meromorphic in a Riemann surface R is defined, where D is a regular subdomain of R containing a reference point w G R. Next we suppose that R has the Green functions. Letting T(w,f) = Mthdir T{D,w,f), we define / to be of uniformly bounded characteristic in R, f G UBC(i?) in notation, if sup^g/j T(w, f) < oo. We s...