Asymptotic analysis of the Askey-scheme I: from Krawtchouk to Charlier
Diego Dominici
Open Mathematics, Tome 5 (2007), p. 280-304 / Harvested from The Polish Digital Mathematics Library

We analyze the Charlier polynomials C n(χ) and their zeros asymptotically as n → ∞. We obtain asymptotic approximations, using the limit relation between the Krawtchouk and Charlier polynomials, involving some special functions. We give numerical examples showing the accuracy of our formulas.

Publié le : 2007-01-01
EUDML-ID : urn:eudml:doc:269797
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     title = {Asymptotic analysis of the Askey-scheme I: from Krawtchouk to Charlier},
     journal = {Open Mathematics},
     volume = {5},
     year = {2007},
     pages = {280-304},
     zbl = {1124.33008},
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Diego Dominici. Asymptotic analysis of the Askey-scheme I: from Krawtchouk to Charlier. Open Mathematics, Tome 5 (2007) pp. 280-304. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-006-0041-6/

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