Branquinho, AmílcarHuertas Cejudo, Edmundo JoséRafaeli, Fernando R2016-07-192016-07-192014Computational Science and Its Applications - ICCSA 2014. Suiza: Springer, 2014, pp. 44-59978-3-319-09143-30302-9743https://hdl.handle.net/10016/23375Proceedings of: 14th International Conference Computational Science and Its Applications (ICCSA 2014). Guimarães, Portugal, June 30 – July 3, 2014This paper deals with monic orthogonal polynomial sequences (MOPS in short) generated by a Geronimus canonical spectral transformation of a positive Borel measure μ, i.e., (x−c) −1dμ(x)+Nδ(x−c), for some free parameter N ∈ IR+ and shift c. We analyze the behavior of the corresponding MOPS. In particular, we obtain such a behavior when the mass N tends to infinity as well as we characterize the precise values of N such the smallest (respectively, the largest) zero of these MOPS is located outside the support of the original measure μ. When μ is semi-classical, we obtain the ladder operators and the second order linear differential equation satisfied by the Geronimus perturbed MOPS, and we also give an electrostatic interpretation of the zero distribution in terms of a logarithmic potential interaction under the action of an external field. We analyze such an equilibrium problem when the mass point of the perturbation c is located outside the support of μ.17application/pdfeng© Springer 2014Orthogonal polynomialsCanonical spectral transformations of measuresZerosMonotonicityLaguerre polynomialsAsymptotic behaviorElectrostatic interpretationLogarithmic potentialconference paperMatemáticasopen access4459Computational Science and Its Applications - ICCSA 2014CC/0000024377