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Asymptotics of orthogonal polynomials generated by a Geronimus perturbation of the Laguerre measure

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2016-01
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Elsevier
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This paper deals with monic orthogonal polynomials generated by a Geronimus canonical spectral transformation of the Laguerre classical measure, i.e., 1/x - cx(alpha)e(-x)dx + N delta(x - c) for x is an element of [0, infinity), alpha > -1, a free parameter N is an element of R+ and a shift c < 0. We analyze the asymptotic behavior (both strong and relative to classical Laguerre polynomials) of these orthogonal polynomials as n tends to infinity.
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Orthogonal polynomials, Canonical spectral trans formations of measures, Asymptotic analysis, Hypergeometric func tions
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Journal of Mathematical Analysis and Applications, January 2016, v. 433, Issue 1, pp. 732-746