Summary.We investigate the asymptotic behaviour of 5C,(n), n ~ 0% where 2',(x) denotes the Laguerre polynomial of degree n. Our results give a partial answer to the conjecture ]2',(n)l > 1 for n > 6, made in 1984 by van Iseghem. We also show the connection between this conjecture and the continued fraction approximants of 6x~/rt.
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