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Abstract. This paper describes a generalized Jacobi-Perron-algorithm for the reduction of first order linear vector recursions. The method is applicable to a wide class of difference equations. As an example we consider Poincar6-Perron type vector recursions.

In this paper we study the M/M/2/2 queue with repeated attempts. It is shown that the part generating functions of the steady state probabilities can be expressed in of generalized hypergeometric unctions.

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