The Open University ’ s repository of research publications and other research outputs The Seidel , Stern , Stolz and Van Vleck Theorems on continued fractions

The Seidel, Stern, Stolz and Van Vleck Theorems on continued fractions

The usual proofs of these three classical theorems are based on the sequences bn, An and Bn, where Zn = An/Bn, and the three-term recurrence relations for An and Bn. Our aim is to unify and generalise these results by giving new, geometric, proofs (apart from the elementary monotonicity statement, and subsequent convergence, in Theorem 1.1). First, however, we restate these three results (again...

The Open University ’ s repository of research publications and other research outputs ‘ Wish you were here before ! ’ Who gains from

The Open University ’ s repository of research publications and other research outputs ‘ Wish you were here before ! ’ Who gains from collaboration between computer science and social research ?

The Open University ’ s repository of research publications and other research outputs Forecast covariances in the linear multiregression dynamic

The Open University's repository of research publications and other research outputs Forecast covariances in the linear multiregression dynamic model Journal Article

The Open University ’ s repository of research publications and other research outputs Creativity in the design process : co - evolution of prob

The Open University's repository of research publications and other research outputs Creativity in the design process: co-evolution of prob-lem–solution Journal Article