A pair of quasi-definite linear functionals [u 0 , u 1 ] on the set of polynomials is called a coherent pair if their corresponding sequences of monic orthogonal polynomials [P n ] and [T n ] satisfy a relation
Let S n n denote a sequence of polynomials orthogonal with respect to the Sobolev inner product f g S = f x g x dψ 0 x + λ f x g x dψ 1 x where λ > 0 and dψ 0 dψ 1 is a so-called coherent pair with at least one of the measures dψ 0 or dψ 1 a Laguerre measure. We investigate the asymptotic behaviour of S n x outside the supports of dψ 0 and dψ 1 , and n → +∞.
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