We 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 = ∫ 1-1 f(x)g(x(1 - x 2 ) α-12 dx with α > - 12 and λ > 0. The asymptotics of the zeros and norms of these polynomials are also established.
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