Asymptotic expansions of zeros for Krawtchouk polynomials with error bounds

DOI10.1007/s10483-006-1205-1zbMath1168.33310OpenAlexW1996732606MaRDI QIDQ1030454

Xiaofeng Zhu, Xiuchun Li

Publication date: 1 July 2009

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-006-1205-1

zbMATH Keywords

asymptotic expansionerror boundsKrawtchouk polynomial

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 (2)

Generalized Krawtchouk polynomials and the complete weight enumerator of the dual code ⋮ Mehler-Heine type formulas for the Krawtchouk polynomials

Cites Work

• Unnamed Item
• Asymptotic properties of Krawtchouk polynomials
• Strong asymptotics for Krawtchouk polynomials
• A uniform asymptotic expansion for Krawtchouk polynomials
• Asymptotic approximations of Jacobi functions and their zeros with error bounds
• Uniform asymptotic expansions for Weber parabolic cylinder functions of large orders
• Error Bounds for Asymptotic Approximations of Zeros of Transcendental Functions

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