Asymptotic expansion of the Krawtchouk polynomials and their zeros

DOI10.1007/BF03321065zbMath1053.33005OpenAlexW2061320371MaRDI QIDQ1880512

Wei-Yuan Qiu, Roderick Wong

Publication date: 28 September 2004

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03321065

zbMATH Keywords

zerosasymptotic expansionsKrawtchouk polynomialsconfluent hypergeometric functions

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60)

Related Items (5)

Uniform Asymptotic Expansions for the Discrete Chebyshev Polynomials ⋮ Global asymptotics of Krawtchouk polynomials -- a Riemann-Hilbert approach ⋮ Asymptotic analysis of the Krawtchouk polynomials by the WKB method ⋮ Generalized Krawtchouk polynomials and the complete weight enumerator of the dual code ⋮ Global asymptotic expansions of the Laguerre polynomials -- a Riemann-Hilbert approach

Cites Work

• Asymptotic properties of Krawtchouk polynomials
• Strong asymptotics for Krawtchouk polynomials
• Constrained energy problems with applications to orthogonal polynomials of a discrete variable
• A uniform asymptotic expansion for Krawtchouk polynomials
• A problem in potential theory and zero asymptotics of Krawtchouk polynomials
• Two theorems on perfect codes
• Uniform asymptotic expansions for Weber parabolic cylinder functions of large orders
• On the Zeros of the Askey–Wilson Polynomials, with Applications to Coding Theory
• DISCRETE ANALOGUES OF THE LAGUERRE INEQUALITY
• Krawtchouk polynomials and universal bounds for codes and designs in Hamming spaces
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