Asymptotic analysis of the Askey-scheme I: from Krawtchouk to Charlier.

Authors :: Dominici, Diego
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]