On associated polynomials and decay rates for birth-death processes

Doorn van, Erik A. (2003) On associated polynomials and decay rates for birth-death processes. Journal of Mathematical Analysis and Applications, 278 (2). pp. 500-511. ISSN 0022-247X

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Abstract:	Abstract: We consider sequences of orthogonal polynomials and pursue the question of how (partial) knowledge of the orthogonalizing measure for the associated polynomials can lead to information about the orthogonalizing measure for the original polynomials. In particular, we relate the supports of the two measures, and their moments. As an application we analyse the relation between two decay rates connected with a birth-death process.
Item Type:	Article
Copyright:	© 2003 Elsevier Science
Faculty:	Electrical Engineering, Mathematics and Computer Science (EEMCS)
Research Group:	Statistics and Probability (SP)
Link to this item:	http://purl.utwente.nl/publications/62337
Official URL:	http://dx.doi.org/10.1016/S0022-247X(02)00663-7
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