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Journal of Applied Mathematics and Stochastic Analysis 
Volume 2006 (2006), Article ID 97073, 16 pages
doi:10.1155/JAMSA/2006/97073

Exact transient solution of a state-dependent birth-death process

P. R. Parthasarathy and R. Sudhesh

Department of Mathematics, Indian Institute of Technology Madras, Chennai 600 036, India

Received 2 December 2004; Revised 12 May 2005; Accepted 13 May 2005

Abstract

A power series expression in closed form for the transient probabilities of a state-dependent birth-death process is presented with suitable illustrations.