Abstract
For any polynomial f with complex coefficients let $\| f \|$ be the norm in $L^2 [0,\infty )$ with the Laguerre weight function $w(t) = e^{ - l} $. Let $P_n $ be the set of all complex polynomials whose degree does not exceed n and $\gamma _n : = \sup _{f \in P_n } ({{\| {f'} \|} {\| f \|}})$. We show that ${{\gamma _n } / n} \to {2 / \pi }$ as $n \to \infty $.
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