Asymptotics for Laguerre-Sobolev type ortogonal polynomials modified\n within their oscillatory regime

In this paper we consider sequences of polynomials orthogonal with respect to\ncertain discrete Laguerre-Sobolev inner product, with two perturbations\n(involving derivatives) located inside the oscillatory region for the classical\nLaguerre polynomials. We focus our attention on the representation of these\npolynomials in terms of the classical Laguerre polynomials and deduce the\ncoefficients of their corresponding five-term recurrence relation, as well as\nthe asymptotic behavior of these coefficients when the degree of the\npolynomials tends to infinity. Also, the outer relative asymptotics of\northogonal polynomials with respect to this discrete Sobolev inner product is\nanalyzed.\n