Asymptotic properties of Krawtchouk polynomials

DOI10.1007/BF01158428zbMath0673.33009OpenAlexW2043905688MaRDI QIDQ1120710

I. I. Sharapudinov

Publication date: 1988

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01158428

zbMATH Keywords

Hermite polynomialKrawtchouk polynomial

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Application of orthogonal and other special functions (94A11)

Related Items (9)

Asymptotic expansion of the Krawtchouk polynomials and their zeros ⋮ A higher order asymptotic expansion of the Krawtchouk polynomials ⋮ Limiting curves for the Pascal adic transformation ⋮ Asymptotic analysis of the Krawtchouk polynomials by the WKB method ⋮ Mehler-Heine type formulas for the Krawtchouk polynomials ⋮ Asymptotic expansions of zeros for Krawtchouk polynomials with error bounds ⋮ Zero distributions for discrete orthogonal polynomials ⋮ Transverse limits in the Askey tableau ⋮ A uniform asymptotic expansion for Krawtchouk polynomials

Cites Work

• Classical orthogonal polynomials of a discrete variable and representations of the three-dimensional rotation group
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