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Asymptotic analysis of the Askey-scheme I: from Krawtchouk to Charlier |
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| Authors: | Diego Dominici |
| Institution: | (1) Department of Mathematics, State University of New York at New Paltz, New Paltz, NY 12561-2443, USA |
| Abstract: | 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. |
| Keywords: | Charlier polynomials Askey-scheme asymptotic analysis orthogonal polynomials hypergeometric polynomials special functions |
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