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Asymptotic analysis of the Askey-scheme I: from Krawtchouk to Charlier.
- Source :
- Central European Journal of Mathematics; Jun2007, Vol. 5 Issue 2, p280-304, 25p
- Publication Year :
- 2007
-
Abstract
- We analyze the Charlier polynomials C <subscript> n </subscript>( 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 18951074
- Volume :
- 5
- Issue :
- 2
- Database :
- Complementary Index
- Journal :
- Central European Journal of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 49776677
- Full Text :
- https://doi.org/10.2478/s11533-006-0041-6