We consider sequences of orthogonal polynomials arising in the analysis of birth-death processes with killing. Motivated by problems in this stochastic setting we discuss criteria for convergence of certain weighted sums of the polynomials.
|Place of Publication||Enschede|
|Publisher||University of Twente, Department of Applied Mathematics|
|Number of pages||14|
|Publication status||Published - Dec 2012|
|Name||Memorandum / Department of Applied Mathematics|
|Publisher||University of Twente, Department of Computer Science|
- Quasi-stationary distribution
- Birth-death process with killing
- Orthogonal polynomials
van Doorn, E. A. (2012). Weighted sums of orthogonal polynomials related to birth-death processes with killing. (Memorandum / Department of Applied Mathematics; No. 1999). Enschede: University of Twente, Department of Applied Mathematics.