Weighted sums of orthogonal polynomials with positive zeros


Kijima, Masaaki and Doorn, Erik A. van (1995) Weighted sums of orthogonal polynomials with positive zeros. Journal of Computational and Applied Mathematics, 65 (1-3). pp. 195-206. ISSN 0377-0427

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Abstract:We study the two sequences of polynomials which arise as denominators of the approximants of even and odd order, respectively, of a Stieltjes fraction, and which may be defined alternatively as a sequence of orthogonal polynomials with positive zeros and the associated sequence of kernel polynomials. Motivated by problems in the setting of birth-death processes, where these sequences play a major role, we focus on the asymptotic behaviour of the sequences and establish convergence of certain weighted sums of the polynomials at hand.
Item Type:Article
Copyright:© 1995 Elsevier Science
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Link to this item:http://purl.utwente.nl/publications/57292
Official URL:https://doi.org/10.1016/0377-0427(95)00105-0
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