Huertas Cejudo, Edmundo JoséMarcellán Español, Francisco JoséPérez Valero, María FranciscaQuintana, Yamilet2016-07-112016-07-112014-06-01Applied Mathematics and Computation, 2014, v. 236, pp. 260-2720096-3003http://hdl.handle.net/10016/23321In this paper we consider sequences of polynomials orthogonal with respect to the discrete Sobolev inner product (f.g)_s ∫_°^∞ f(x)g(x) x^(α ) e dx+F(c)ΑG(c)^t, α> 1 where f and g are polynomials with real coefficients A∈ R^2.2 and the vectors F(c), G(c) are A=(■(M&0@0&N)), F(c)=(f(c),f'(c) ) G(c)=(g(c),g'(c)) with M,N ∈ R and the mass point c is located inside the oscillatory region for the classical Laguerre polynomials. We focus our attention on the representation of these polynomials in terms of classical Laguerre polynomials and we analyze the behavior of the coefficients of the corresponding five term recurrence relation when the degree of the polynomials is large enough. Also, the outer relative asymptotics of the Laguerre Sobolev type with re spect to the Laguerre polynomials is analyzed.13application/pdfeng© Elsevier 2014Atribución-NoComercial-SinDerivadas 3.0 EspañaOrthogonal polynomialsDiscrete Sobolev polynomialsLaguerre polynomialsAsymptoticsresearch articleMatemáticashttps://doi.org/10.1016/j.amc.2014.03.038open access260272Applied Mathematics and Computation236AR/0000015084