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

• Autorzy: Diego Dominici
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Charlier polynomials; Askey-scheme; asymptotic analysis; orthogonal polynomials; hypergeometric polynomials; special functions

Kategorie tematyczne

• 34E05: Asymptotic expansions
• 33C45: Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)
• 33C10: Bessel and Airy functions, cylinder functions, 0 F 1

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2007
• Tom: 5
• Numer: 2
• Strony: 280-304

Daty

wydano

2007-06-01

online

2006-11-18

Twórcy

autor

Diego Dominici

• State University of New York at New Paltz

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Identyfikatory

DOI

10.2478/s11533-006-0041-6