Strong asymptotics for Gegenbauer-Sobolev orthogonal polynomials

6 pages, no figures.-- MSC1991 codes: 33C25; 42CO5.Zbl#: Zbl 0895.33003We study the asymptotic behaviour of the monic orthogonal polynomials with respect to the Gegenbauer-Sobolev inner product (f,g)_S= <f,g> + λ<f',g'> where <f,g> = \int_{-1}\sp 1f(x)g(x)(1-x\sp 2)\sp {\alpha-\frac{1}{2}}dx, with α > -1/2 and λ > 0. The asymptotics of the zeros and norms of these polynomials are also established.Research by first (A.M.F.) and second (J.J.M.B.) was partially supported by Junta de Andalucía, Grupo de Investigación FQM 0229.Publicad