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

This paper deals with monic orthogonal polynomials generated by a Geronimus canonical spectral transformation of the Laguerre classical measure, i.e.,1x−cxαe−xdx+Nδ(x−c), for x∈[0,∞)x∈[0,∞), α>−1α>−1, a free parameter N∈R+N∈R+ and a shift c<0c<0. We analyze the asymptotic behavior (both strong and relative to classical Laguerre polynomials) of these orthogonal polynomials as n tends to infinity.