Lp-norms and information entropies of Charlier polynomials

Authors:
Lars Larsson-Cohn
Affiliations:
Department of Mathematics, Uppsala University, Box 480, Uppsala, Sweden
Venue:
Journal of Approximation Theory
Year:
2002

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Abstract

We derive asymptotics for the Lp-norms and information entropies of Charlier polynomials. The results differ to some extent from previously studied orthogonal polynomials, for example, the Lp-norms show a peculiar behaviour with two thresholds. Some complications arise because the measure involved is discrete.