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Chebyshev approximation of the second kind of modified Bessel function of order zero

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Abstract

The second kind of modified Bessel function of order zero is the solutions of many problems in engineering. Modified Bessel equation is transformed by exponential transformation and expanded by J. P. Boyd’s rational Chebyshev basis.

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References

  1. Amos D E. Computation of modified Bessel functions and their ratios[J].Math Comp, 1974,28 (24):239–251.

    Article  MATH  MathSciNet  Google Scholar 

  2. Campbell J B. Bessel functions I n (z) and K n (z) of real order and complex argument[J].Comput Phys Comm, 1981,24(1):97–105.

    Article  Google Scholar 

  3. Gautschi W, Slavik J. On the computation of modified Bessel function ratios[J].Math Comp, 1978,32(143):865–875.

    Article  MATH  MathSciNet  Google Scholar 

  4. Kerimov M K, Skorokhodov S L. Calculation of modified Bessel functions in the complex domain [J].U S S R Comput Math and Math Phys, 1984,24(3):15–24.

    Article  MATH  Google Scholar 

  5. Segura J, de Cordoba Fernandez P, Ratis Yu L. A code to evaluate modified Bessel functions based on the continued fraction method[J].Comput Phys Comm, 1997,105(2/3):263–272.

    Article  MATH  MathSciNet  Google Scholar 

  6. Thompson I J, Barnett A R. Modified Bessel functions I n (z) and K n (z) of real order and complex argument, to selected accuracy[J].Comput Phys Comm, 1987,47(4):245–257.

    Article  MathSciNet  Google Scholar 

  7. Yoshida T, Ninomiya I. Computation of Bessel functions K n (z) with complex argument by tau method[J].J Inform Process, 1974,14(1):32–37.

    MATH  MathSciNet  Google Scholar 

  8. Luke Y L.The Special Functions, and Their Approximations[M]. New York: Academic Press, 1969.

    Google Scholar 

  9. Boyd J P. Orthogonal rational function on a semi-infinite interval[J].Journal of Computational Physics, 1987,70:63–88.

    Article  MATH  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, 200072, Shanghai, P. R. China

    Zhang Jing & Zhou Zhe-wei

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  1. Zhang Jing
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  2. Zhou Zhe-wei
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Contributed by ZHOU Zhe-wei

Foundation items: the Shanghai Science Development Fund (98JC14032); the Municipal Key Subject Programs of Shanghai

Biography: ZHANG Jing (1972≈), Doctor (Tel: +86-21-65539118; Fax: +86-21-64852015; E-mail:jerryzh@cableplus.com.cn)

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Jing, Z., Zhe-wei, Z. Chebyshev approximation of the second kind of modified Bessel function of order zero. Appl Math Mech 25, 483–487 (2004). https://doi.org/10.1007/BF02437596

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  • DOI: https://doi.org/10.1007/BF02437596

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