International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 7, Pages 28131, 12 p.
doi:10.1155/IJMMS/2006/28131
On the 2-orthogonal polynomials and the generalized birth and death processes
Zerouki Ebtissem
and Boukhemis Ammar
Department of Mathematics, Faculty of Science, University of Badji Mokhtar, Annaba, P.O. Box 12, Annaba 23000, Algeria
Abstract
We discuss the connections between the 2-orthogonal polynomials and the generalized birth and death processes. Afterwards, we find the sufficient conditions to give an integral representation of the transition probabilities from these processes.