Asymptotic Approximations of Jacobi Functions and Their Zeros with Error Bounds

Zhu, Xiao Feng; Li, Xiu Chun

doi:10.1007/s10114-005-0593-6

Acta Math Sinica

2005

DOI: 10.1007/s10114-005-0593-6

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Asymptotic Approximations of Jacobi Functions and Their Zeros with Error Bounds

Xiao Feng Zhu

Xiu Chun Li

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2006

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Asymptotic expansions of zeros for Krawtchouk polynomials with error bounds

朱晓峰

李秀淳

2006

Appl Math Mech

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Krawtchouk polynomials are frequently applied in modern physics. Based on the results which were educed by Li and Wong, the asymptotic expansions of Krawtchouk polynomials are improved by using Airy function, and uniform asymptotic expansions are got. Furthermore, the asymptotic expansions of the zeros for Krawtchouk polynomials are again deduced by using the property of the zeros of Airy function, and their corresponding error bounds are discussed. The obtained results give the asymptotic property of Krawtchouk polynomials with their zeros, which are better than the results educed by Li and Wong.

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Asymptotic expansions of zeros for Krawtchouk polynomials with error bounds

朱晓峰

李秀淳

2006

Appl Math Mech

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Asymptotic Approximations of Jacobi Functions and Their Zeros with Error Bounds

Cited by 1 publication

References 9 publications

Asymptotic expansions of zeros for Krawtchouk polynomials with error bounds

Asymptotic expansions of zeros for Krawtchouk polynomials with error bounds

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