The Open University ’ s repository of research publications and other research outputs Entire functions for which the escaping set is a spider ’ s web

The Open University ’ s repository of research publications and other research outputs Entire functions for which the escaping set is a

We construct several new classes of transcendental entire functions, f , such that both the escaping set, I ( f ), and the fast escaping set, A( f ), have a structure known as a spider’s web. We show that some of these classes have a degree of stability under changes in the function. We show that new examples of functions for which I ( f ) and A( f ) are spiders’ webs can be constructed by comp...

The Open University ’ s repository of research publications and other research outputs Connectedness properties of the set where the iterates of an entire function are bounded

We investigate some connectedness properties of the set of points K(f) where the iterates of an entire function f are bounded. We describe a class of transcendental entire functions for which K(f) is totally disconnected if and only if each component of K(f) containing a critical point is aperiodic. Moreover we show that, for such functions, if K(f) is disconnected then it has uncountably many ...

The Open University ’ s repository of research publications and other research outputs Investigating the factors impacting retailers evaluations of web solution providers

publications and other research outputs Entire functions for which the escaping set is a

We construct several new classes of transcendental entire functions, f , such that both the escaping set, I ( f ), and the fast escaping set, A( f ), have a structure known as a spider’s web. We show that some of these classes have a degree of stability under changes in the function. We show that new examples of functions for which I ( f ) and A( f ) are spiders’ webs can be constructed by comp...

The Open University ’ s repository of research publications and other research outputs Watson : a gateway for next generation semantic web applications

(2007). Watson: a gateway for next generation semantic web applications. Copyright and Moral Rights for the articles on this site are retained by the individual authors and/or other copyright owners. For more information on Open Research Online's data policy on reuse of materials please consult the policies page.