## On a recursive solution for an $$n$$-dimensional Markov chain in continuous time.(Spanish. English summary)Zbl 0734.60077

Summary: A recursive solution for an n-dimensional Markov chain in continuous time, based on an integer function K, is considered. A work on the family of polynomials which arise in that solution is presented, in order to get the subfamily of polynomials that appears explicitly in the recursive solution, in terms of the absolute probability distribution, and the subfamily that is necessary and sufficient to compute in the recursive procedure, which brings about a substantial advantage in the automatic processing of such solution. This is carried out by the analysis of a class of subsets of Im(K). Moreover, a new expression for the solution is given.

### MSC:

 60J27 Continuous-time Markov processes on discrete state spaces

### Keywords:

Markov chain in continuous time; recursive solution
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### References:

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